Question

.Find Gain or Loss percent when :

Cost Price =Rs 350 and Selling Price =Rs 400​

Answer 1

Answer:

here s. p. is more so profit

gain = s. p. - c. p.

400-350

Rs 50

Answer 2

Given :-

• Selling Price (S.P) = Rs 400
• Cost Price (C.P) = Rs 350

To Find :-

• Gain or Lose %

Solution :-

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

If there is gain :

• Gain% = Gain / C.P × 100

If there is loss :

• Loss% = Loss / C.P × 100

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S.P = Rs 400

C.P = Rs 340

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

➞ Gain = Selling Price - Cost Price

➞ Gain = 400 - 350

➞ Gain = Rs 50

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Clearly, there is gain of Rs 50 Now, we have to find the rate of gain i.e gain% . So, we know that :

⟾ Gain% = Gain / C.P × 100

⟾ Gain% = 50 / 350 × 100

⟾ Gain% = 50 / 35 × 10

⟾ Gain% = 50 / 7 × 2

⟾ Gain% = 50 × 2 / 7

⟾ Gain% = 100 / 7

⟾ Gain% = 14.28%

Thus Gain% is 14.28%

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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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