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Mathematics

A table is sold at 80% of its cost price. The profit or loss as percent is :

  1. 20% loss

  2. 20% profit

  3. 25% loss

  4. 25% profit

Profit, Loss & Discount

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Answer

Lets take the C.P. of table to be ₹ 100100.

S.P. of table = ₹ 80%80\% of cost price.

S.P.=(80100×100)=(80100×100)=80\text{S.P.}= ₹\Big(\dfrac{80}{100} \times 100\Big) \\[1em] = ₹\Big(\dfrac{80}{\cancel{100}} \times \cancel{100}\Big) \\[1em] = ₹ 80

(∵ C.P. is greater than S.P., means table 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, option 1 is the correct option.

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