Rutvi, while professes to sell her goods at a profit of 20%, Rutvi weighs 900 grams instead of 1000 grams. Find her gain percent.

A 30%

B \(33\frac{1}{3}\%\)

C 50%

D 40%

E 37%

Solution

Correct Answer: Option B

Let her cost price be Rs. 100.

∴ Her selling price would be Rs. 120

∴ Her cost price for 1000gm is Rs. 100

∴ Her cost price for 1 gm = Rs. 100/1000

She sells 900gm for Rs. 120

∴ His selling price for 1gm = Rs. 120/900

∴ Profit = Selling price – Cost price

∴ Profit = 120/900 – 100/1000 = 300/9000 = 1/30

Now, profit percentage = \(\frac{{Profit}}{{Cost\;price\;}} \times 100 = \;\frac{{\frac{1}{{30}}}}{{\frac{{100}}{{1000}}}}\; \times 100 = \frac{{100}}{3} = 33\frac{1}{3}\;\% .\)

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