Question

manadala art bought for RS.250 and sold at RS.150. profit or loss? also, find the profit percent or loss percent?​

Answer 1

Given :-

• Cost Price = Rs,250
• Selling Price = Rs,150

To Find :-

• Profit or loss and Profit or Loss percentage

Procedure :-

• Here, as we are given that S.P and C.P , so to find gain or loss %, we have to find whether here is gain or loss.

• In order to calculate gain or loss, we'll compare C.P and S.P. If S.P is greater than there is gain, if C.P is greater thar there is loss.

• And then we'll find the gain or loss % by the given formula:

If there is gain :

$\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

If there is loss :

$\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

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Solution :-

• S.P = Rs,150

• C.P = Rs,250

•›» Since, C.P is greater than S.P. Thus, there is Loss. We know that :

$\bigstar \boxed{\sf{Loss\:= \:C.P \:– \:S.P}}$

→ Loss = Rs (250 - 150)

→ Loss = Rs, 100

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Clearly, there is Loss of Rs,100 . Now, we have to find the rate of Loss i.e Loss% . So, we know that :

$\longmapsto \bigstar\boxed{\sf{Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}} \\ \\ \longmapsto\sf { Loss\: \% = \Bigg( \dfrac{100}{250} \times 100 \Bigg)\%} \\ \\ \longmapsto\sf { Loss\: \% = \Bigg( \dfrac{100}{25 \cancel0} \times 10 \cancel0 \Bigg)\%} \\ \\ \longmapsto\sf { Loss\: \% = \Bigg( \dfrac{100}{25 } \times10 \Bigg)\%} \\ \\ \longmapsto\sf { Loss\: \% = \: \cancel \dfrac{100}{25 } \times10} \: \% \\ \\ \longmapsto\sf { Loss\: \% = \: 4 \: \times \: 10} \: \% \\ \\ \longmapsto\sf { Loss\: \% = \: 40} \%$

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Therefore, Loss is Rs,100 and Loss % is 40 %.

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Extra Information:

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$

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