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The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is
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- 280
- 210
- 240
- 300
Correct Option: C
Larger number = x and smaller number = 520 – x
| ∴ | = | × 112 | ||
| 100 | 100 |
⇒ 96x = 520 × 112 – 112x
⇒ 112x + 96x = 520 × 112
⇒ 208x = 520 × 112
| ⇒ x = | = 280 | 208 |
∴ Smaller number
= 520 – 280 = 240
