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A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for ₹ 600. The reduced per kg price of rice is
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- ₹ 30
- ₹ 25
- ₹ 20
- ₹ 15
Correct Option: D
Let original price of rice per kg = ₹ x (let)
∴ New price of rice per kg
= ₹ | 4 |
∴ | - | = 10 | ||
x | ||||
4 |
⇒ 600 | – | = 10 | 3x | x |
⇒ 600 | = 10 | 3x |
⇒ | = 10 | 3x |
⇒ x = | = ₹ 20 | 30 |
∴ New price = | - | = ₹ 15/kg | ||
4 | 4 |
Method 2 :
Quicker Approach
If the price of an article is reduced by a% and buyer gets c kg more for some ₹ b, the new
price per kg of article = | 100 × c |
= | = ₹ 15 | 100 × 10 |
Aliter : Using Rule 31,
Reduced price per kg
= | = ₹ 15 | 100 × 10 |