Question

Find the profit percent if C.P-200,SP-250​

Answer 1

Answer:

profit = SP - CP

= 250 - 200

= 50

profit percent = profit/CP × 100

= 50/200 × 100

= 25%

Step-by-step explanation:

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Answer 2

Given :

• Selling Price (S.P) = Rs 250
• Cost Price (C.P) = Rs 200

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 250

C.P = Rs 200

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

➞ Gain = Selling Price - Cost Price

➞ Gain = 250 - 200

➞ 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 / 200 × 100

⟾ Gain% = 50 / 20 × 10

⟾ Gain% = 50 / 2

⟾ Gain% = 25%

Thus Gain% is 25%

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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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