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A person bought two bicycles for $ 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get $ 5 more. The difference of the cost price of the two bicycles was :
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- $ 50
- $ 40
- $ 25
- $ 75
Correct Option: A
Here , C.P. of two bicycles = $ 1600
If the C.P. of first bicycle be $ y, then C.P. of second bicycle = $ (1600 – y ). Then,
According to question ,
| + | - | - | = 5 | 100 | 100 | 100 | 100 |
⇒ 12y + 17600 – 11y – 11y – 19200 + 12y = 50
⇒ 2y = 50 + 19200 – 17600
⇒ 2y = 1650 ⇒ y = 825
C.P. of second cycle = 1600 – 825 = $ 775
Required Difference = 825 – 775 = $ 50
