Bimal sells his cloth at its cost price but instead of 36cm length he uses 33cm long length. Find his profit percentage?

A \(11\frac{1}{9}\%\)

B \(13\frac{1}{3}\%\)

C \(9\frac{1}{{11}}\%\)

D \(17\frac{1}{7}\%\)

E None of these

Solution

Correct Answer: Option C

Let his cost price and selling price be Rs. x.

∴ His cost price for 36cm is Rs. x

∴ His cost price for 1 cm = Rs. x/36

He sells 33cm for Rs. x

∴ His Selling price for 1cm = Rs. x/33

∴ Profit = Selling price – Cost price

∴ Profit = x/33 – x/36 = 3x/1188 = x/396

Now, profit percentage = \(\frac{{Profit}}{{Cost\;price\;}} \times 100 = \;\frac{{\frac{x}{{396}}}}{{\frac{x}{{36}}}}\; \times 100 = \frac{{100}}{{11}} = 9\frac{1}{{11}}\;\% .\)

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