Question

Find $CP$ when $SP=Rs.40.60$, gain $=16\%$?

• A. $Rs.35$
• B. $Rs.50$
• C. $Rs.75$
• D. $Rs.89$

Answer 1

Answer: (A)

The correct option is A: $Rs.35$

Given: $CP=?,SP=Rs.40.60$, Gain $\%=16\%$

We know that $C.P=\left(\frac{100}{100+gain\%}\right)\times S.P$

$=\frac{100}{100+16}\times 40.60$

$=\frac{100}{116}\times 40.60$

$=\frac{25}{29}\times 40.60$

$=\frac{25\times 40.60}{29}$

$=\frac{1015}{29}=35$

$\therefore C.P=Rs.35$