Question

A shopkeeper sells an article at ₹ 1800 at a loss of 10%. At what price must he sell that article so as to earn a profit of 10%?

• A. ₹2000
• B. ₹2200
• C. ₹1900
• D. ₹2100

Answer 1

The correct option is B ₹2200

Given S.P = ₹1800, and the loss is 10%
S.P = C.P- Loss
1800 = C.P - $\frac{10}{100}\times C.P$
1800 = $\frac{100\times C.P-10\times C.P}{100}$
1800 = $\frac{90\times C.P}{100}$
$\therefore$ C.P = ₹2000
To sell that articel at a profit of 10%, the S.P will be:
S.P = C.P + 10% of C.P
S.P = 2000 + 10% of 2000 = 2000 + 200
$\therefore$ the price at which the shopkeeper must sell his article to gain a profit of 10% will be ₹ 2200