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A tradesman allows a discount of 15% on the written price. How much above the cost price should he mark his goods to make a profit of 19%?

(a) 20%

(b) 40%

(c) 30%

(d) 25%

1 Answer

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Best answer

Correct option is (b) 40%

Let us take the C.P. = Rs. 100.  

∴ S.P. at 19% gain = Rs.(100 + 19) = Rs. 119  ..........(i)

Let the M.P. = Rs. x.

Then, the S.P. at a discount of 15% = \(x - x\times \frac {15}{100} = \frac{17x}{20}\)  .........(ii)

Comparing (i) & (ii),

\(\frac{17x}{20} = 119\)

⇒ \(x = \frac{20}{17} \times 119\)

⇒ x = Rs.140.

So, the M.P. = Rs.140 and the C.P. = 100.

The increment in price in order to get 19% profit = Rs.(140 − 100)

= Rs. 40

= 40%. 

(Since the C.P. = Rs. 100)

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