Question

The C.P. of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no loss no gain in the whole transaction, then the C.P. of the two watches are respectively :

• A. Rs. 360, Rs. 480
• B. Rs. 480, Rs. 360
• C. Rs. 380, Rs. 460
• D. Rs. 400, Rs 440

Answer 1

The correct option is A Rs. 360, Rs. 480

Let the cost of one watch=x Rs.
Then cost of second watch=(840-x) Rs.
Then according to the question
16% of x=12% of (840-x)
$\Rightarrow \frac{16}{100}\times x=\frac{12}{100}\times (840-x)$
$\Rightarrow \frac{16x}{100}=\frac{12\times 840}{100}-\frac{12x}{100}$
$\Rightarrow \frac{16x}{100}+\frac{12x}{100}=\frac{12\times 840}{100}$
$\Rightarrow 28x=12\times 840$
$\Rightarrow x=\frac{12\times 840}{28}=360Rs.$
Hence ,cost of one watch=360 Rs
Cost of another watch=840-360=480 Rs.