Question

3. If 10 apples are bought for   11 and sold at the rate of 11 apples for      10. Find the overall gain or loss per cent in these transactions.​

Answer 1

LCM of 10 and 11 = (10 × 11) = 110

Let the number of apples bought be 110

CP of 10 apples = Rs. 11

CP of 1 apple = Rs. (11/10)

CP of 110 apples = Rs. (11/10 × 110) = Rs. 121

SP of 11 apples = Rs. 10

SP of 1 apple = Rs. (10/11)

SP of 110 apples = Rs. (10/11 × 110) = Rs. 100

Therefore, CP = Rs. 121 and SP = Rs. 100

Since (SP) < (CP), there is a loss.

Loss = Rs. (121-100) = Rs. 21

Loss % = (loss/CP × 100)% = (21/121 × 100)% = (2100/121)%

$= 17 \frac{43}{121} \%$

The answer:

Loss percent is

$17 \frac{43}{121}\%$