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A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment. His profit percentage is:
Question

A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment. His profit percentage is:

A.

9.25%

B.

7.25%

C.

11.25%

D.

10.25%

Correct option is A

Given:

A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment.

Formula used:

SP = MP(1 - D%)

P%=[(SPCP)CP]×100P \% = [\frac{(SP - CP)}{CP}] × 100​​

Solution:

Let CP be x and MP be 1.15x

According to the question,

SP = 1.15x(1 - 5%)

=> SP = 1.15x(1 - 0.05)

=> SP = 1.15x(0.95) = 1.0925x

Now the Profit %,

P P\ % = [\frac{(1.0925x - x)}{x}] × 100 \\\ \\=> P\% = [\frac{0.0925x}{x}] × 100 \\\ \\=> P\% = 0.0925 × 100 = 9.25\%​​

∴ His profit percentage is 9.25%

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