# Apple Profit Loss Problem

The Apple Profit Loss problem is as follows :

Question :

A shopkeeper sells 1 kg of apples for Rs. 160 at a loss of 20%. At what price should he sell a kg of apples to gain 20% ?

Solution :

Now since he is at a loss of 20%, this implies that he got back 80% of his initial investment.

Say he bought the apples for Rs. x

Then we can say 160 = 80% of Rs.x = 0.8x

Solving we get x = 200

Now to get a 20% profit, we have to multiply this by 1.2

Hence he should sell the apples for 200 X 1.2 = Rs. 240 If you have any doubts, leave me a comment below 😉

1. madhuri

why we need to multiply by 1.2 to get 20% profirt

• Daniel Dsouza

Hello Madhuri .. see.. if we multiply by 1 means 100% back … So since we want 20% profit .. it will be (100% + 20%) = (1 + 0.2) = 1.2 Got it ? 2. rupam

80(20% loss) ==== 160
120(20% gain) === 240 simple … dats all u need to calculate in mind

‘Time’ s the main villain in competitive xam !

• Daniel Dsouza

Hello Rupam Its True Time is the main Villan! 😛

3. kunal prasad

Actually the question is incomplete..its not clear in the question dat whether he wants overall 20% profit or only in next sell.

• Daniel Dsouza

I think its pretty clear that its on the next sell …. where did it seem not clear? 