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Mathematics

C.P. = ₹ 150 and loss = 50% ⇒ the S.P. is:

  1. ₹ 200

  2. ₹ 100

  3. ₹ 225

  4. ₹ 75

Profit, Loss & Discount

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Answer

Given:

C.P. = ₹ 150

Loss % = 50%

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

Putting the values, we get

50=Loss150×100Loss=50×150100=7500100=75\Rightarrow\text{50} = \dfrac{\text{Loss}}{150} \times 100\\[1em] \Rightarrow\text{Loss} = \dfrac{50 \times 150}{100} \\[1em] = \dfrac{7500}{100} \\[1em] = 75

As we know:

Loss=C.P. - S.P.75=150S.P.S.P.=15075S.P.=75\text{Loss} = \text{C.P. - S.P.}\\[1em] \Rightarrow 75 = 150 - \text{S.P.}\\[1em] \Rightarrow \text{S.P.} = 150 - 75\\[1em] \Rightarrow \text{S.P.} = 75

Hence, option 4 is the correct option.

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