Question

Animesh sells an article to Sid at a profit of 10%. Again, Animesh buys back the article from Sid, because of which Sid suffers a loss of 10%. Then, find Animesh's loss or gain percentage.

• A. 10%
• B. 9%
• C. 11%
• D. 12%

Answer 1

The correct option is C 11%

let the initial C.P = ₹100
Profit made by Animesh after selling the article to Sid = 10%
$\therefore$ S.P = C.P + 10% of C.P
$\Rightarrow$ S.P = 100 + ($\frac{10}{100}\times$100)
$\Rightarrow$ S.P = 100 + 10 = ₹110

So, C.P for Sid = ₹110
Loss suffered while selling the article back to Animesh = 10%
$\therefore$ S.P = C.P - 10% of C.P
$\Rightarrow$ S.P = 110 - ($\frac{10}{100}\times$110)
$\Rightarrow$ S.P = 110 - 11 = ₹99

So, new C.P for Animesh = ₹99
Total profit made by Animesh
= ₹110 - ₹99 =₹11

Profit percentage made by him
$\Rightarrow$ Profit% = $\frac{11}{100}\times$ 100

$\Rightarrow$ Profit% = 11%