Question

Harry purchased some fruits and sold 1/2 of them at a gain of 60% and 1/4 of them at a gain of 20%, the rest were spoiled. Find his gain or loss percent on the whole.

(Please show work)

Answer 1

-20%

Explanation:

We have to Harry bought a quantity of fruit.

He sold half, that is 50% but I earn 60%, that is to say that here he made 10% of profits.

Then he sold 1/4 of the total, that is 25% but he took 20% of profits, that is to say that in this case he obtained 5% of losses.

They tell us that the rest was spoiled, that is, 100 - 50 - 25 = 25% was spoiled, and all that is lost, in the end the balance is as follows:

10% - 5% - 25% = -20%

That is to say that in general it lost 20% of the total.

Answer 2

Answer: 35%

Explanation:

Let the original price be "4x".

60% gain on 1/2 of them will be:

(1.60 × 2x) = 3.2x - 2x = 1.2x

20% gain on (1/4) of them will be:

(1.2 × x) = 1.2x - x= 0.2x

Total gain 1.2x + 0.2x = 1.4x

Total gain percent= Gain/Original price =1.4x/4x = 0.35 = 35%