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A man sold 20 apples for $ 100 and gained 20%. How many apples did he buy for $ 100?
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- 20
- 22
- 24
- 25
Correct Option: C
If the CP of 20 apples be y, then
| = 100 | 100 |
| ⇒ y = | = $ | 120 | 3 |
| ∵ $ | = 20 apples | 3 |
| ∴ $ 100 = | = 24 apples | 250 |
We can find required answer with the help of given formula :
Here, a = ?, p = 100 and b = 20, q = 100
Gain% = 20%
| Gain % = |  | aq - bp |  | × 100% | |
| bp |
| 20 % = | | a × 100 - 20 × 100 | | × 100% | ||
| 20 × 100 |
⇒ 400 = 100a – 2000
⇒ 2400 = 100a ⇒ a = 24
