Question

what is the profit or loss in the following transaction ? also find profit percent or loss percent . (a) a refrigerator bought for ₹ 12000 and sold it at ₹ 13500.​

Answer 1

Given :-

• A refrigerator bought for ₹ 12000 and sold it at ₹ 13500.

To Find :-

• What is the profit or loss in the following transaction ?  

• Find profit percent or loss percent .

Solution :-

~Here, we’re given the cost price and the selling price of a refrigerator and we need to find the profit/loss and profit/loss percentage. We can easily find by putting the formulas.

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In this question :  

• Cost Price ( CP ) is ₹ 12000

• Selling Price ( SP ) is ₹ 13500

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As we know that ,

$\underline{\boxed{\sf \bigstar \;\; If\;CP>SP \; it\;is\;Loss}}$

$\underline{\boxed{\sf \bigstar \;\; If\;SP>CP \; it\;is\;Profit}}$

$\underline{\boxed{\sf \bigstar \;\; Profit = SP-CP}}$

$\underline{\boxed{\sf \bigstar \;\; Profit \% = \dfrac{SP-CP}{CP} \times 100 \%}}$

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Finding if it’s profit or loss ::

₹ 13500 > ₹ 12000  

It is profit

Finding the Profit amount ::

$\sf \implies 135000 -12000$

$\sf \implies 1500$

Finding the Profit % ::

$\sf \implies Profit \% = \dfrac{13500 - 12000 }{12000} \times 100 \%$

$\sf \implies Profit \% = \dfrac{1500}{12000} \times 100 \%$

 

$\sf \implies Profit \% = 12.5 \%$

 

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Hence,  

• The profit is of Rs. 1500 and the profit percentage is 12.5 %  

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Answer 2

Given :-

• Selling Price (S.P) = Rs 13500
• Cost Price (C.P) = Rs 12000

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 thar 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 :

• Gain% = Gain / C.P × 100

If there is loss :

• Loss% = Loss / C.P × 100

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S.P = Rs 13500

C.P = Rs 12000

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

➞ Gain = Selling Price - Cost Price

➞ Gain = 13500 - 12000

➞ Gain = Rs 1500

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Clearly, there is gain of Rs 1500 Now, we have to find the rate of gain i.e gain% . So, we know that :

⟾ Gain% = Gain / C.P × 100

⟾ Gain% = 1500 / 12000 × 100

⟾ Gain% = 1500 / 120

⟾ Gain% = 150 / 12

⟾ Gain% = 12.5%

Thus Gain% is 12.5%

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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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