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A man bought pencils at the rate of 6 for $ 4 and sold them at the rate of 4 for $ 6. His gain% in the transaction is :
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- 75%
- 80%
- 125%
- 100%
Correct Option: C
Let the number of pencils bought = LCM of 4, 6 = 12
CP of 6 pencils = $ 4
∴ CP of 12 pencils = $ 8
S.P. of 4 pencils = $ 6
∴ S.P. of 12 pencils = $ 18
Profit = S.P. of 12 pencils - C.P. of 12 pencils = Rs. (18 – 8) = $ 10
| ∴ Profit % = | × 100 = 125 % | 8 |
We can find required answer with the help of given formula :
Here, a = 6, p = 4 and b = 4, q = 6
| Gain % = |  | aq - bp |  | × 100% | |
| bp |
| Gain % = | | 6 × 6 - 4 × 4 | | × 100% | ||
| 4 × 4 |
| Gain % = | | 36 - 16 | | × 100% | ||
| 16 |
| Gain % = | × 100 = 125 % | 16 |
