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Two numbers are in the ratio 2 : 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is
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- 100
- 160
- 180
- 200
Correct Option: A
Let the numbers be 2k and 3k.
According to the question,
 | × 2k |  | + 20 | 100 |
| = | | × 3k | | + 25 | 100 |
| ⇒ | + 20 = | + 25 | ||
| 5 | 10 |
| ⇒ | - | = 25 - 20 | ||
| 5 | 10 |
| ⇒ | = 5 ⇒ k = 50 | 10 |
∴ The smaller number = 2k = 100
