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A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Then the price per kg before reduction was
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- Rs. 5
- Rs. 6
- Rs. 10
- Rs. 4
Correct Option: A
Let the original price of sugar be Rs. x per kg.
Reduced price
| = Rs | = Rs. | per kg. | ||
| 100 | 5 |
According to the question,
| - | = 8 | |||
| x | ||||
| 5 |
| ⇒ | - | = 8 | ||
| x | x |
| ⇒ | - | = 8 | ||
| x | x |
| ⇒ | = 8 | x |
⇒ 8x = 40
| ⇒ x = | = 5 per kg | 8 |
Reduced Price
| = | = | = Rs. 4 per kg | ||
| 5 | 5 |
Aliter : Using Rule 31,
Reduced price per kg.
| = | = Rs. 4 | 100 × 8 |