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A bookseller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for $ 6 more, he would have gained (75 / 4) %. The cost price of the book is
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- $ 130
- $ 140
- $ 150
- $ 160
Correct Option: C
Let the CP of the book be $ y
Initial SP = | × y = 1.1 y | 100 |
New CP = 0.96 y
New SP = | 100 + | 75 | % of 0.96y | |||
4 |
New SP = | × 0.96y = 1.14 y | 400 |
Therefore, 1.14 y –1.1y = 6
⇒ 0.04 y = 6
⇒ y = | = | = 150 | 0.04 | 4 |
∴ CP = $ 150