Camel Bananas Puzzle Answer: 533 Bananas [Solved]

The camel bananas puzzle answer is 533. A camel must carry 3,000 bananas to a market 1,000 km away. It can carry at most 1,000 bananas at a time, and it eats one banana for every kilometre it travels. The most it can deliver is 533 bananas. Below is the three-stage relay, the proof, and the twist that changes the answer to 833.

The camel bananas puzzle is a classic from the interview circuit. It appears in puzzle collections used to prepare for finance and quant interviews. The rules fit in three lines, and the answer still surprises most people who try it. That gap between simple rules and a strange answer is exactly why interviewers keep asking it.

The Camel Bananas Puzzle, Stated Plainly

A banana plantation owner has 3,000 bananas and one camel. The market is 1,000 km away. The camel is the only transport available, and it has two limits:

• It can carry at most 1,000 bananas at a time.
• It eats one banana for every kilometre it travels, loaded or empty.

The question: what is the greatest number of bananas the camel can deliver to the market?

Fix one rule in your head before you start: the camel eats on the way back too. A banana eaten on a return trip never reaches the market. That single detail decides the whole puzzle.

The Trap Most Candidates Fall Into

The first plan most people try is the direct one. Load 1,000 bananas, walk 1,000 km to the market, and arrive with nothing, because the camel eats one banana per km and 1,000 km costs 1,000 bananas. Do it three times and you deliver zero bananas.

The second plan is only slightly better. People who spot the problem try to carry the bananas in stages but forget the return trips. They count the forward journeys and ignore the walk back, so they land on answers like 1,000 or 2,000. Both are wrong, because every return journey eats bananas too. That is why the camel bananas puzzle answer is 533, not 1,000.

The real question is not how to carry bananas. It is how to pay as little as possible for moving them. Each crossing costs a banana, so the skill is to reduce the number of crossings as fast as possible.

The Key Insight: Every Kilometre Has a Price

Think in cost per kilometre, not distance. The cost depends on how many bananas are still waiting to be moved.

While 3,000 bananas are waiting, moving the pile one kilometre costs 5 bananas: three loaded trips forward and two empty trips back. That is five crossings, and each crossing eats one banana.

Once the pile is down to 2,000 bananas, moving it one kilometre costs 3 bananas. Two loaded trips forward and one empty trip back: three crossings.

Once the pile is down to 1,000 bananas, one kilometre costs 1 banana: one loaded trip forward, no return.

So the whole puzzle becomes a spending problem. You have 3,000 bananas. You want to spend as few kilometres as possible at 5 bananas per km, then as few as possible at 3 bananas per km, and the rest at 1 banana per km. The relay below does exactly that, and it is how the camel bananas puzzle answer is worked out.

The Camel Bananas Puzzle Answer in Three Stages

The plan uses two staging points where the camel drops bananas, picks up the next load, and keeps going. Here is the full relay.

Stage 1: 0 to 200 km, at 5 bananas per km

Start with 3,000 bananas. Each kilometre costs 5 bananas, and you need to burn 1,000 bananas to get the pile down to 2,000. That takes 1,000 divided by 5, which is 200 km. At the 200 km mark, the camel has 2,000 bananas left.

Stage 2: 200 to 533 km, at 3 bananas per km

Now each kilometre costs 3 bananas, and you need to burn another 1,000 to get the pile down to 1,000. That takes 1,000 divided by 3, which is 333.33 km. At the 533.33 km mark, 1,000 bananas are left.

Stage 3: 533 to 1,000 km, at 1 banana per km

Now the camel carries the last 1,000 bananas in a single trip. The remaining distance is 1,000 minus 533.33, which is 466.67 km. The camel eats 466.67 bananas on the way and arrives at the market with 533.33 bananas. Since you cannot deliver a third of a banana, the answer is 533 whole bananas.

Stage	Distance covered	Cost per km	Bananas left
1	0 to 200 km	5 bananas	2,000
2	200 to 533 km	3 bananas	1,000
3	533 to 1,000 km	1 banana	533

The exact figures are 200, 333.33, and 466.67 km, which add up to 1,000 km. The delivered total is 533.33 bananas, so 533 whole bananas reach the market.

Why the Camel Bananas Puzzle Answer Is 533 and Not More

Finding a plan that delivers 533 bananas is only half the job. A strong candidate also shows that no plan can beat it. The proof is short and uses the same cost-per-kilometre idea.

To move 3,000 bananas past any point on the road, the camel must cross that point five times: three times forward with a load, twice back empty. So every kilometre covered while more than 2,000 bananas are still behind costs at least 5 bananas. The pile cannot drop to 2,000 until at least 200 km have been covered at that rate.

The same logic applies at the next level. To move 2,000 bananas past any point, the camel must cross it three times. So every kilometre covered while more than 1,000 bananas are still behind costs at least 3 bananas, and the pile cannot drop to 1,000 until at least another 333.33 km have passed.

The last stretch is the cheapest possible: one loaded trip, 1 banana per km, for the remaining 466.67 km. Add the minimum costs together: 5 times 200, plus 3 times 333.33, plus 1 times 466.67. That is 1,000 plus 1,000 plus 466.67, which is 2,466.67 bananas eaten at minimum. Subtract from 3,000 and you get 533.33. No plan can deliver more than 533 whole bananas, and the relay above delivers exactly that. That is the full proof that the camel bananas puzzle answer is 533, and that it is the maximum.

The 833 Variant: When the Rules Change

Some versions of this puzzle say the camel eats only while it is carrying a load. Empty return trips are free. That one change moves the answer to 833, and interviewers love to ask it as a follow-up.

With free returns, stage 1 costs 3 bananas per km instead of 5, because only the three forward trips eat. Burning 1,000 bananas takes 333.33 km. Stage 2 costs 2 bananas per km, so burning the next 1,000 takes 500 km. The camel then covers the last 166.67 km and delivers 833.33 bananas.

The lesson is practical: pin down the rules before you solve. Ask whether the camel eats on the way back. The interviewer may be testing whether you check assumptions.

What the Interviewer Is Testing

This puzzle is not a maths test. The arithmetic is simple division. Here is what the interviewer is actually watching for.

Structured thinking under constraints. The puzzle has two hard limits, load size and food per kilometre. Strong candidates turn the limits into a cost model instead of guessing a route.

Spotting hidden costs. The return trips are the hidden cost. Most wrong answers come from forgetting them.

Optimisation instinct. The winner spends as little distance as possible at the expensive rates. That is the same instinct that matters in trading, logistics, and operations.

Clear communication. A good answer states the staging points, the cost at each stage, and the final number, in that order. If you can explain the relay in plain words, you show you understand it.

Try This Next

If you liked this puzzle, try the two trains fly puzzle, where a fly shuttles between two trains and the answer is one line of arithmetic. Then try the Goldman Sachs 4 cars puzzle, which uses the same relay idea as this one: four cars, four full tanks, and the question of how far one car can go.

Sources: the question is a classic interview brain teaser, listed in puzzle collections for interview preparation; see the GeeksforGeeks camel and banana puzzle for the standard statement. The solution and all workings above are original.