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The total cost price of two watches is $ 840. One is sold at a profit of 16 percent and the other at a loss of 12 percent. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains, is
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- $ 360
- $ 370
- $ 380
- $ 390
Correct Option: A
The total cost price of two watches = $ 840.
Let the cost price of first watch which sold on 16 percent be y.
Then cost price of second watch = (840 – y )
According to the question ,
| y × | + (840 - y) × | = 840 | 100 | 100 |
| ⇒ | + | = 840 | 100 | 100 |
⇒ 116y – 88y = 84000 – 73920
⇒ 28y = 10080
| ∴ y = | | = $ 360 | | 28 |
