Question

A man sold 20 apples for rs 100 and gained 20 profit how many apples did he buy for rs 100

Answer 1

20% gain means he has 20% more apple of what he sold. then 20%of 20=4 total apple can be buy for Rs 100=20+4=24.

Answer 2

24 apples he bought for Rs 100

Selling Price (S.P.) of 20 apples = Rs 100

Since, it is mentioned that he gains a 20% profit on selling these 20 apples at Rs 100, so, Cost Price(C.P) of these 20 apples for the man is given as:

C.P. of 20 apples = [100 / (100 + profit%)] of Rs 100      [For profit, CP<SP]

= (100 / 120) of Rs 100

= Rs (10000/120)

= Rs 250/3

So, the man bought the 20 apples at Rs 250/3 to gain a profit of 20%.

So, Rs 250/3 is the C.P of 20 apples.

From unitary method, Rs 1 is the C.P. of ($\frac{20}{\frac{250}{3} }$) apples = 6/250 apples.

So, Rs 100 is the CP of (6/250)×100 = 24 apples.

So, in Rs 100 he can buy 24 apples.