How many oranges bought for 100$
A fruit merchant sells 20 oranges for 10$ thereby making profit of 25%.
How many oranges did he buy for 100$?
Answer– 250 Oranges
20 oranges for 10$ => selling price per orange = 0.5 $
Since this sale is at 25% profit, it means that the purchase price per orange was 0.4 $, which, in turn, implies that he could have bought 250 oranges for 100$. Whether he actually ‘did buy‘ that many is a different matter. 🙂
Answer– 266.67 Oranges
20 oranges for 10$ => selling price per orange = 0.5 $
Since this sale is at 25% profit, it means that the purchase price per orange was 0.375 $,
0.5$ = 100%
? = 25%
(25/100)*0.5 = 0.125$ (Profit per Orange)
0.5- 0.125 = 0.375$ (Original Cost per Orange)
So for 0.375$ we can get 1 orange. For 100$ we can get 266.67 oranges.
(100/0.375)*1 = 266.67

number of oranges has to be a natural number, but not fraction.
20 oranges for 10$ implies 1 orange for 0.5$ and also 200 oranges for 100$.
If he had bought 25 oranges for 10$, he makes 25% profit by selling 2o oranges for 10$.
So for 100$, he would have bought 250 oranges.
merchent gets 1 orange for = (10/20)*(100/125) $
= 0.4 $
for 100$ merchent gets = 100/0.4
= 250
Your Answer
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