Venture Capital puzzles, solved step by step
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- Hard
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063You are sizing a freight marketplace for Delhi NCR. As a first step, estimate how many freight trucks leave Delhi NCR on an average day, and say how you would check the estimate.India VCSeed and early-stage VC
Try it first
Which approach makes the estimate defensible?
Show the worked solution
Roughly 35,000 to 50,000 trucks a day, call it 40,000. From the goods: about 3 crore people, each accounting for some 10 kg of goods leaving the region daily, gives 3 lakh tonnes; at 12 tonnes a truck that is 25,000 loaded trucks, or about 35,714 once empty departures are added. From the trucks: about 4 lakh trucks serving NCR, each leaving once every 8 days, gives 50,000. Two routes within 1.4x of each other make the range defensible.
Why build the number twice?
A carpenter measures twice before cutting, not because the first measurement was careless but because a second, separate measurement catches the slip the first one hid. An estimate built from one chain of assumptions can be precise and still out by ten times; a second route built from different assumptions is the only check you can run in the room. Here the first route starts from what has to move, goods, and the second from what moves it, trucks. They share no inputs, so their agreement means something.
Route A from outbound goods gives about 35,714 trucks a day and route B from the fleet gives 50,000, and because the two independent routes land within a factor of 1.4, the range of about 36,000 to 50,000 is defensible. Walk route A slowly. Assume about 3 crore people in NCR. Outbound freight is the manufactured goods from the industrial belts plus wholesale trade re-sent to the rest of north India; assume 10 kg per resident a day, so 3 lakh tonnes. A loaded truck averages perhaps 12 tonnes across small and large vehicles, giving 25,000 loaded departures. Trucks that came in loaded often leave empty; if 30% of departures are empty, total departures are 25,000 divided by 0.7, about 35,714. Route B: assume 4 lakh intercity trucks, from NCR and outside, serve the region, and an average round trip takes 8 days, so 50,000 leave each day.
How would you check it outside the room?
The best check is a third, measured source: GST e-way bills, which are generated for goods moved above a value threshold and are published at state level, and toll plaza counts of goods vehicles on the main exits from NCR. Each has its own bias; e-way bills miss low-value loads and toll counts mix through traffic with NCR departures, so use them to test the range rather than replace it. A morning spent with brokers at a transport hub would test the 30% empty share and the 8-day trip, the two inputs most likely to be wrong.
Then say what the number is for. Trucks leaving a day is not the market; the marketplace earns on loads it matches. At 40,000 departures a day, if a third are booked through brokers and the platform takes a fee per load, the next step is the fee times the brokered loads. The truck count is the base everything else multiplies, which is why it deserves two routes.
Where candidates lose it
The first way to lose this is to build one long chain with confident decimals and stop. The interviewer will move one input, say the tonnes per truck, and the whole answer moves with it; a second route is your defence.
The second is forgetting empty departures. A truck that came in loaded still leaves, and in freight the empty leg is exactly the problem a marketplace sells against, so leaving it out misses both the count and the business case.
What the interviewer asks next
- How would you turn the truck count into the marketplace's revenue pool?
- Which single assumption would you test first, and how?
- How would the estimate differ for Mumbai, where much freight arrives by port?
079Estimate the annual market for refurbished smartphones in India. Build it from the number of phones replaced each year, the share of those that are resold, the share of resold phones that are refurbished, and the average refurbished selling price.Consumer internet VCIndia VC
Try it first
Which input moves this market size the most per unit of doubt?
Show the worked solution
About Rs 24,000 crore a year on these assumptions, and supply, not demand, sets the ceiling. Take 60 crore phones in use on a 4-year cycle: 15 crore retire each year. If 40% are resold and half of those are refurbished, 3 crore units reach the refurbished channel at about Rs 8,000 each. Every input is an assumption to check against market data.
Why start from the phones people retire rather than the people who want one?
A second-hand bookshop can only sell the books people give up. However many students want cheap textbooks, the shop's shelves fill at the rate books are released. A refurbished market is a used-goods market, so its volume is capped by the flow of retired devices before anyone asks about demand. Size the flow first, then check demand only to see whether it is large enough to absorb that flow.
On the stated assumptions, 60 crore phones in use retire 15 crore a year; 6 crore are resold and 3 crore of those are refurbished, a Rs 24,000 crore market, and because demand of about 4.5 crore units exceeds the 3 crore supply, supply sets the size. How do you build and defend each step?
Say every number is an assumption and give the reason for its size. Installed base over replacement cycle gives the retiring flow: 60 crore over 4 years is 15 crore phones a year. Of those, many stay in a drawer or pass to a parent, so assume 40% are sold or traded in, 6 crore. Some go straight to a buyer as they are; assume half pass through a grading, repair and warranty channel, 3 crore units. At an average Rs 8,000, that is Rs 24,000 crore.
Step Assumption Units, crore Smartphones in use Round starting base 60 Retired each year 4-year replacement cycle 15 Resold or traded in 40% of retired 6 Refurbished 50% of resold 3 Market, Rs crore x Rs 8,000 24,000 Each row multiplies the one above by a stated assumption, so the Rs 24,000 crore estimate can be challenged one line at a time; none of these figures is market data. How do you show that supply rather than demand caps it?
Run a quick demand check. If about 18 crore phones are bought each year, new and used, and a quarter of buyers would take a refurbished phone at a fair price, demand is about 4.5 crore units, more than the 3 crore supply. When demand exceeds supply, the market is the supply, so the replacement cycle is the lever to test. A 3-year cycle lifts the flow to 20 crore retired phones and the market to Rs 32,000 crore, a bigger swing than any plausible change in price. That also tells an investor where the business is won: in sourcing devices, not in finding buyers.
Where candidates lose it
Most candidates size demand: population, smartphone owners, share who would buy refurbished. That gives a huge number the market can never reach, because nobody can sell phones that have not been retired. The interviewer is waiting to see whether you notice which side binds.
The second loss is stating inputs as facts. Say that each number is a round assumption to be checked, and name the one you would check first: the replacement cycle.
What the interviewer asks next
- How would you estimate the replacement cycle without any industry report?
- What would change if exports of used phones took a quarter of the resold flow?
- Would you rather back a refurbisher that sources through trade-ins or one that buys from individuals, and why?
