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Mathematics

C.P. = ₹ 400 and overheads = ₹ 100. If loss = 10%; the S.P. is :

  1. ₹ 360

  2. ₹ 440

  3. ₹ 450

  4. ₹ 550

Profit, Loss & Discount

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Answer

Given:

C.P. = ₹ 400

Overheads = ₹ 100

Hence, total C.P. = C.P. + overheads

= ₹ 400 + ₹ 100 = ₹ 500

Loss % = 10%

Loss %=LossC.P.×100\text{Loss \%} = \dfrac{\text{Loss}}{\text{C.P.}} \times \text{100}

Putting the values, we get

10=Loss500×100Loss=10×500100=5000100=50\Rightarrow10 = \dfrac{\text{Loss}}{500} \times 100\\[1em] \Rightarrow\text{Loss} = \dfrac{10 \times 500}{100} \\[1em] = \dfrac{5000}{100} \\[1em] = 50

As we know:

Loss=C.P. - S.P.50=500S.P.S.P.=50050=450\text{Loss} = \text{C.P. - S.P.}\\[1em] \Rightarrow 50 = 500 - \text{S.P.}\\[1em] \Rightarrow \text{S.P.} = 500 - 50\\[1em] = 450

Hence, option 3 is the correct option.

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