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A man had 100 kgs of sugar, part of which he sold at 7% profit and rest at 17% profit. He gained 10% on the whole. How much did he sell at 7% profit?
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- 65 kg
- 35 kg
- 30 kg
- 70 kg
Correct Option: D
Let the amount of sugar sold at 7% profit be y kg. and let C.P. per kg be $ 1.
According to question ,
Total C.P. = $ 100
Total S.P. = 107% of y + 117% of (100 – y )
Total S.P. = 1.07y + 1.17 (100 – y )
Total S.P. = 1.07y + 117 – 1.17y = 117 – 0.1y
∴ 117 – 0.1y = 110% of 100
⇒ 0.1y = 117 – 110 = 7
| ⇒ y = | = 7 × 10 | 0.1 |
