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A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13% . His gain (in %) is:
Question

A tradesman marked his goods at 26% above its cost price and then allowed a discount of 13% . His gain (in %) is:

A.

6.29

B.

9.62

C.

9.26

D.

6.92

Correct option is B

Given:
Marked price 26% above cost price, discount of 13%.
Formula Used:

Gain % = (Selling Price - Cost Price)Cost Price \frac{\text{(Selling Price - Cost Price)}}{\text{Cost Price}}​×100.
Solution:
Let cost price = 100.
Marked price = 100 + 26 = 126
Selling price = 126 − (126×\times​0.13) =126 − 16.38= 109.62
Gain = 109.62 − 100 = 9.62
Gain % = 9.62100×100=9.62%\frac{9.62}{100} \times 100 = 9.62\%​​


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