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Mathematics

The selling price of 15 articles is equal to the cost price of 12 articles. Find the gain or loss as percent.

Profit, Loss & Discount

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Answer

Let the C.P. of 1 article be ₹ 100.

The C.P. of 12 articles = ₹ 100 x 12 = ₹ 1200

The S.P. of 15 articles = the C.P. of 12 articles

The S.P. of 15 articles = ₹ 1200

The S.P. of 1 article = ₹ 120015\dfrac{1200}{15} = ₹ 80

(∵ C.P. is greater than S.P., means article is sold at a loss.)

Loss = C.P. - S.P.

= ₹ 100 - ₹ 80

= ₹ 20

Loss %=LossC.P.×100%=20100×100%=20100×100%=20%\text{Loss \%} = \dfrac{\text{Loss}}{\text{C.P.}} \times 100\%\\[1em] = \dfrac{20}{100} \times 100\%\\[1em] = \dfrac{20}{\cancel{100}} \times \cancel{100}\%\\[1em] = 20\%

Hence, loss % = 20%.

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