Question

If SP = ₹924 and gain = 10%, then CP =

(a) ₹480
(b) ₹804
(c) ₹408
(d) ₹840

Disclaimer: There is a misprint in the question. CP should be ask instead of SP.

Answer 1

Let the CP be x.

SP = ₹924
Gain = 10%

Therfore, SP is more than CP.

Now,
$\mathrm{Gain}=10\%\mathrm{of}\mathrm{CP}$ and SP = CP + gain

$$\begin{gathered} \mathrm{So},\mathrm{SP}=\mathrm{CP}+10\%\mathrm{of}\mathrm{CP} \\ \Rightarrow 924=x+\frac{10}{100}\times x \\ \Rightarrow 924=\left(1+\frac{1}{10}\right)x \\ \Rightarrow 924=\frac{11}{10}x \\ \Rightarrow x=924\times \frac{10}{11} \\ \Rightarrow x=840 \end{gathered}$$

Thus, CP = ₹840

Hence, the correct option is (d).