| The total cost price of two watches is Rs. 900. One is sold at a profit of 20% and the other at a loss of 25%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper loses is |
A) Rs. 400
B) Rs. 500
C) Rs. 450
D) Rs. 540
Correct Answer: A
Solution :
| Let their CP be \[\text{Rs}\text{. }x\] and \[\text{Rs}\text{. (900}-x),\]respectively. |
| Then, \[\frac{120}{100}\times x+\frac{75}{100}(900-x)=900\] |
| \[\frac{45x}{100}=225\]\[\Rightarrow \]\[x=\left( \frac{225\times 100}{45} \right)=500\] |
| \[\therefore \]Required \[CP=900-x\]\[\Rightarrow \]\[900-500=400\] |
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