Venture Capital puzzles, solved step by step

About 2.03, not 1.6. ARR is one year of recurring revenue, so a Rs 8 crore contract spanning three years adds Rs 2.67 crore of ARR. Net new ARR falls from Rs 25 crore to Rs 19.67 crore, and Rs 40 crore of burn divided by that is 2.03. The company spends about Rs 2 of cash for every rupee of new annual revenue, not Rs 1.60.

What is the burn multiple actually measuring?

The burn multipleNet cash burned in a period divided by the net new annual recurring revenue added in that period. Lower is more efficient. asks how many rupees of cash a company spends to add one rupee of annual recurring revenue. Both halves have to be measured over the same year, so a contract that covers three years can only put one year's revenue in the denominator. A gym that sells a three-year membership for Rs 36,000 has not added Rs 36,000 of yearly revenue; it has added Rs 12,000 a year for three years.

How do you restate it in your head?

Split the Rs 25 crore into the part that was fine and the part that was not. Rs 17 crore came from ordinary annual contracts. The prepaid contract is Rs 8 crore over three years, which is Rs 2.67 crore a year. Restated net new ARR is 17 plus 2.67, or Rs 19.67 crore, and 40 divided by 19.67 is 2.03. A quick check: 40 over 20 would be exactly 2, and the denominator is a little under 20, so the answer sits a little above 2.

Why does the gap between 1.6 and 2.03 matter?

Many investors read a multiple under about 1.5 to 2 as efficient growth and anything much above 2 as expensive, though the cut-offs vary with stage and market. The restatement moves this company across that line, from efficient-looking to expensive. It also tells you what to ask next: how many other contracts are multi-year, and whether the sales team is paid on total contract value, which would explain why the number was booked this way.

16 months. The customer pays Rs 10,000 a month, but at a 75% gross margin only Rs 7,500 of that is left after the cost of serving them. That gross profit is what repays the Rs 1.2 lakh spent to win the customer, and 1,20,000 divided by 7,500 is 16 months. Dividing by revenue instead gives 12 months, which flatters the business by a third.

Why does payback use gross profit and not revenue?

A tea stall that spends Rs 1,200 on a signboard has not earned it back when it has sold Rs 1,200 of tea, because the milk, sugar and gas cost money too. CAC is repaid only by what the customer leaves behind after the cost of serving them, which is gross profit, not revenue. Here the cost of hosting, support and payment processing takes a quarter of each month's Rs 10,000, leaving Rs 7,500 to pay back the Rs 1.2 lakh.

What does 16 months tell an investor?

It says how long the company's cash is tied up in each new customer. A company that grows fast with a 16-month payback consumes cash for well over a year on every customer it adds, so faster growth means a bigger cash need, not a smaller one. Many SaaS investors treat payback under about 12 to 18 months as healthy for mid-market customers, though the benchmark moves with customer size and churn. If this customer stays four years, it leaves Rs 3.6 lakh of gross profit, three times its acquisition cost.

Name the limitation as well. The simple payback assumes the customer never leaves. If 2% of customers churn each month, the average customer takes about 19 months to repay its CAC, because some leave before they have paid back.

Contribution is Rs 90 crore, a 75% margin on revenue, and the company is valued at 8.3x revenue and 11.1x contribution. A 12% take rate on Rs 1,000 crore of GMV is Rs 120 crore of revenue. Payment costs of Rs 20 crore and refunds of Rs 10 crore leave Rs 90 crore. The 1x GMV headline is the same price as 8.3x revenue.

Why is GMV not the company's revenue?

A property broker who helps sell a Rs 1 crore flat does not earn Rs 1 crore; she earns her commission. GMVGross merchandise value: the total value of goods or services sold through a marketplace, before the platform takes its cut. is the value flowing through the platform, and only the take rate, here 12%, is the platform's revenue. On Rs 1,000 crore of GMV that is Rs 120 crore. The other Rs 880 crore belongs to sellers, so a multiple of GMV prices something the company never keeps.

What is left after the costs that scale with every order?

Payment processing costs 2% of GMV, Rs 20 crore, and refunds the platform absorbs cost 1%, Rs 10 crore. Both are charged on GMV but paid out of revenue, so a 3% cost on GMV eats a quarter of a 12% take rate. Contribution is Rs 90 crore: 75% of revenue, but only 9% of GMV. This is the money available to pay for marketing, salaries and offices, and eventually profit.

What would you say about the valuation?

That the headline multiple flatters the price, and the real question is what the contribution can grow into. Paying 11.1x contribution is reasonable only if contribution grows fast or the take rate can rise without losing sellers. Two marketplaces at 1x GMV can be wildly different prices: one with a 25% take rate is valued at 4x revenue, one with a 5% take rate at 20x. Always convert GMV multiples into revenue and contribution before comparing companies.

Blended LTV to CAC is 1.33x; the marginal ratio on the last 1,000 customers is 0.86x. Total spend is Rs 50 lakh plus Rs 80 lakh plus Rs 1.4 crore, Rs 2.7 crore for 3,000 customers, an average of Rs 9,000, and Rs 12,000 over Rs 9,000 is 1.33. The last cohort costs Rs 14,000 for Rs 12,000 of contribution, so it destroys Rs 20 lakh.

Why can a healthy average hide a losing cohort?

Think of picking mangoes from a tree. The low branches take seconds, the middle ones need a ladder, and the top ones need a long pole and ten minutes each. The average minutes per mango still looks fine long after the top branches stopped being worth the effort. Customer acquisition works the same way: each extra customer from a saturating channel costs more than the last, so the average lags behind the cost of the customer you are adding now. The blended 1.33x looks acceptable. The marginal LTV to CACThe lifetime contribution of the next customer divided by the cost of acquiring that customer, as opposed to the average across all customers acquired so far. on the third cohort is 0.86x.

How much value does each cohort create or destroy?

Turn the ratios into rupees, because a ratio cannot be added up. The first cohort creates Rs 7,000 a customer, Rs 70 lakh. The second creates Rs 4,000 a customer, Rs 40 lakh. The third loses Rs 2,000 a customer, Rs 20 lakh. Stopping at 2,000 customers leaves Rs 110 lakh of value against Rs 90 lakh for all 3,000, so the third cohort makes the company smaller. At 2,000 customers the blend would also read better, 1.85x.

Why does a venture investor care about the difference?

A growth plan funded by a new round usually means spending more in the same channels. The return on that new money is set by the marginal ratio, not the blended one, so a company quoting 1.33x may be raising money to buy customers at 0.86x. Ask for acquisition cost by month or by spend band, not the lifetime average. Say the limitation as well: here every customer brings the same Rs 12,000, but a saturated channel often brings weaker customers too, so the real marginal ratio is likely worse than 0.86x.

They are almost equal: about 9.68p a year on the monthly plan against 9.6p on the annual plan. The monthly customer pays p in month one and is still paying with probability 0.96 to the k in month k plus one, so twelve months add to about 9.68p. The annual customer pays 12 x 0.8p, 9.6p, upfront. With revenue a near tie, the cash on day one and the lower churn of a committed customer decide it for annual.

How do you count revenue from a customer who might leave?

A gym that sells monthly memberships cannot count on twelve payments from every member who joins in January, because some stop coming in March. Expected revenue from a monthly customer is each month's price times the chance they are still a customer that month, added up. With 4% churn, the chance of still paying in month k plus one is 0.96 to the k: 1 in the first month, 0.96 in the second, and 0.61 by the twelfth. Twelve terms of a shrinking series add to about 9.68p, not 12p.

If revenue is a near tie, what decides it?

Everything the revenue sum leaves out. The annual plan collects 9.6p on day one, which funds growth without new equity, while the monthly plan collects its 9.68p over twelve months. Annual customers also cannot churn mid-year, and at renewal they tend to churn less than monthly customers, so year two favours annual too. The break-even is close: at monthly churn of 4.16% the two plans give the same first-year revenue, so at any churn above that the annual plan wins on revenue as well.

What could make the comparison misleading?

The sum assumes the same customer would choose either plan. In practice the customers who pick annual plans are already the more committed ones, so their lower churn is partly selection, not a result of the plan. A founder who shows that annual customers churn less is showing a correlation; the useful question is what happens to churn when the company pushes hesitant customers onto annual terms. The other limit is the discount itself: at 20% it is roughly break-even, but a deeper discount gives revenue away for cash that may be cheaper to raise elsewhere.

A score of 25 today, and a margin of minus 10% to reach 40 at 50% growth. The Rule of 40 adds revenue growth and free cash flow margin: 70 plus minus 45 is 25. If growth slows to 50 and the burn stays at minus 45, the score falls to 5. To get back to 40 the margin must rise to minus 10, a 35 point improvement in a year when growth is also slowing.

What does adding growth to margin actually measure?

A cricket team can win on runs scored or on runs saved; a selector looks at the margin of victory, not either number alone. The Rule of 40A rough test for software companies: revenue growth % plus free cash flow margin % should reach at least 40. treats growth and cash generation as substitutes, so a company may burn cash only to the extent that its growth pays for the burn. Today this company grows 70 and burns 45, for a score of 25: it is spending more than its growth justifies. A company growing 20 with a 20% margin also scores 40 and passes, which is the point: the test does not care which mix you choose.

Why is the slowdown the dangerous part of this question?

Growth rarely falls while the cost base shrinks on its own. When growth drops 20 points with the burn unchanged, the score falls from 25 to 5, and the company has to find 35 points of margin to make up for it. Those points come from cutting sales hiring and marketing, which is often what was producing the growth, so the cut can slow growth further. Say this in the room: the score is easy to compute, the hard part is whether the company can move margin that far without breaking the growth engine.

State the limits too. The rule is a rule of thumb from listed software companies; applied to an early company growing 200% it says little, because small numbers make growth rates swing. Which margin you use matters as well, free cash flow or EBITDA, and companies quote whichever flatters them, so ask which one is in the deck.

Both reach Rs 337.5 crore, but only A keeps growing when new sales stop. Each year A's ARR becomes 130% from existing customers plus 20% from new ones, and B's becomes 90% plus 60%: both 1.5x. Three years of 1.5x takes Rs 100 crore to Rs 337.5 crore. Stop new sales and A still grows 30% a year, to about Rs 741 crore in three more years, while B shrinks 10% a year, to about Rs 246 crore.

How can a company losing revenue from its existing customers grow as fast as one expanding them?

Two water tanks can both rise by 50 litres an hour: one has a strong tap and a small leak, the other a small tap and no leak at all, plus a booster on the old water. ARR growth is net retention plus new-customer ARR, so the same headline growth can come from customers who spend more each year or from a sales team refilling a leaking base. A gets 30 points from existing customers and 20 from new ones; B loses 10 points from existing customers and replaces them with 60 points of new sales. Both add 50%.

Why would an investor pay more for A at the same ARR?

Because A's growth does not depend on the sales team hitting target every quarter. High net retention is growth the company has already earned; new-logo growth must be bought again every year, usually at a high sales and marketing cost. B has to replace 10% of its base before it grows at all, and as B gets bigger that hole gets bigger in rupees: Rs 10 crore in year one, Rs 22.5 crore in year three. If its market saturates or a recession slows buying, B shrinks; A keeps compounding from the customers it already has.

State the assumptions. The model applies the same retention to new customers from their first year, which flatters B if new customers churn faster than old ones, as they often do. It also treats retention as constant; very high NRR tends to fall as customers reach full deployment. A real diligence would read retention by customer cohort, not a single blended number.

Undiscounted, LTV is Rs 4 lakh and LTV to CAC is 3.3; discounted at 2% a month, LTV is Rs 2 lakh and the ratio is 1.7. Gross profit is Rs 8,000 a month and 2% churn means an average life of 50 months, so 8,000 x 50 is Rs 4 lakh. Discounting adds the 2% rate to the 2% churn, so LTV becomes 8,000 over 0.04, which is Rs 2 lakh.

Why is the average customer life one over the churn rate?

A gym that loses 2 of every 100 members each month, month after month, keeps the average member for 50 months: some leave in the first month, some stay ten years, and the steady 2% leak averages out to one over 0.02. With a constant monthly churn c, the expected customer life is 1 / c months, and lifetime value is the monthly gross profit times that life. Use gross profit, not revenue: Rs 10,000 at 80% margin is Rs 8,000 a month, and 8,000 x 50 is Rs 4 lakh, against a Rs 1.2 lakh acquisition cost, a ratio of 3.3.

What does discounting do to a stream that already decays?

A rupee of gross profit in month 40 is worth about 0.45 today at 2% a month. When churn and the discount rate are both monthly rates, discounted LTV is monthly gross profit divided by churn plus the discount rate, because each month the stream shrinks by survival and by time together. Here that is 8,000 / (0.02 + 0.02), exactly Rs 2 lakh if each month's profit arrives at the month end.

Is 2% a month a fair rate? It compounds to about 27% a year, a venture-style hurdle rather than a bank rate, so the halving here is at the harsh end. The point survives a gentler rate: a ratio that looks comfortable at 3.3 can sit much closer to 1 once time is priced, and the 15-month payback on gross profit is often the more honest single number to quote alongside it.

About 30.6% a year, not 36%; and 10% a year needs monthly churn of about 0.87%. Each month keeps 97% of the customers still there, so a year keeps 0.97 to the power 12, which is 69.4%. Going the other way, 90% retention a year means a monthly retention of 0.9 to the power one twelfth, about 99.13%, so monthly churn of 0.87%. This counts one starting group of customers and ignores new sign-ups.

Why is it not simply twelve times 3%?

A water tank that loses 3% of what is in it every hour loses less each hour, because there is less water to lose. Monthly churn is a share of the customers still there, so it compounds on a shrinking base: the yearly survival rate is the monthly survival rate raised to the twelfth power. After six months 0.97 to the sixth leaves 83.3%, and after twelve 69.4%. Twelve times 3% would be right only if each month lost 3% of the original group, which nobody measures.

How do you get the monthly rate for 10% a year without a calculator?

Dividing 10% by 12 gives 0.83%, and it is close because small rates compound gently. The exact figure is slightly higher, 0.87%, because the monthly losses come out of a shrinking base and so each month must lose a touch more to reach 10% in total. Say the division as a first estimate, then the correction. For large rates the gap grows: 3% a month gives 30.6% a year, against 36% by multiplication.

Why does an investor care which convention a company used?

Because companies quote whichever looks better. A business that reports 3% monthly churn and 30.6% annual churn is internally consistent; one that reports 3% monthly and 25% annual is either measuring different customers or counting new sign-ups against losses. Ask what base the churn is measured on and whether it counts logos or revenue, since revenue churn can be much lower when the customers who leave are the small ones.

1.25 on the headline numbers, and 0.75 once the one-off services are removed. The magic number is the quarter's revenue increase, annualised, divided by the previous quarter's sales and marketing spend. Headline: Rs 5 crore x 4 = Rs 20 crore over Rs 16 crore is 1.25. But only Rs 3 crore will recur; Rs 12 crore over Rs 16 crore is 0.75. Two crore of services flattered the efficiency by two thirds.

What is the magic number measuring?

A coaching centre that spends Rs 1.6 lakh on advertising one month and signs students paying an extra Rs 50,000 a month in fees has bought Rs 6 lakh a year of fees for Rs 1.6 lakh. The magic number is the annualised increase in recurring revenue divided by the sales and marketing spend that produced it, usually the previous quarter's. It is a quick read on how efficiently a company turns sales spend into new revenue. Annualise because the spend buys a full year of revenue from each new customer, not just one quarter.

Why does the one-off revenue matter so much?

Because the measure is built on a small difference. A Rs 2 crore swing in a Rs 5 crore increase is 40% of the numerator, so a one-off item moves the magic number far more than it moves revenue. Read as recurring revenue, a magic number of 1 means a year of the new revenue repays the quarter's sales spend; 1.25 suggests about 9.6 months, but the true 0.75 means about 16 months, and that is before the cost of serving the customers. Some investors multiply by gross margin for that reason: at a 75% margin the recurring figure becomes 0.56.

Ask three things before trusting the number: is the revenue recurring, is the spend fully counted, including sales salaries and commissions, and is one quarter representative. A single strong quarter can follow a deal that slipped from the quarter before, so investors look at a rolling average across several quarters.