Question

A man sells a T.V. set for Rs. $6,900$ and makes a profit of $15\%$. He sells a second T.V. set at a loss of $10\%$. If on the whole, he neither gains nor loses, find the cost price of second T.V. set.

• A. Rs. $6,000$
• B. Rs. $8,000$
• C. Rs. $9,000$
• D. Rs. $10,000$

Answer 1

The correct option is C Rs. $9,000$

Man gets $15\%$ profit on first T.V.

$\Rightarrow$ C.P. of $1^{st}$ T.V $=$ $\frac{100}{100+\text{Profit}\%}\times S.P.=\frac{100}{100+15}\times 6900=$ Rs. $6000.$

Therefore, profit on $1^{st}$ T.V. $=$ Rs. $6900-6000=$ Rs. $900.$

So, the loss on second T.V. is Rs. $900.$

$\text{Loss}\%=10\%$

$\text{Loss}\%=\frac{\text{Loss}}{C.P.}\times 100$

$\Rightarrow$ $10=\frac{900}{C.P.}\times 100$

$\Rightarrow$ $10=\frac{90000}{C.P.}$

$\Rightarrow$ $C.P.=$ Rs. $9000$

Thus cost price of second T.V. is Rs. $9000$.