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A trader bought two horses for $ 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost price are respectively.
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- $ 10,000 and $ 9,500
- $ 11,500 and $ 8,000
- $ 12,000 and $ 7,500
- $ 10,500 and $ 9,000
Correct Option: B
Given that , Total CP of two horses ( y ) = $ 19,500.
One of them is sold at a loss of a% and other is sold at a gain of b% and their S.P. is same.
| ∴ C.P. of article sold at a loss of a% = | | × y | | 200 - a + b |
Here , a = 20 , b = 15%
| C.P. of first horse = | | × 19500 | | 200 - 20 + 15 |
| C.P. of first horse = | | × 19500 = $ 11500 | | 195 |
⇒ C.P. of second horse = 19500 - 11500 = $ 8000
