Question

By selling an article for rs 180 a loss of rs 20 occurred. Find its cost price. Also find its selling price if it is sold at a profit of 12%

Answer 1

Step-by-step explanation:

sp=180

loss=20

cp=200

g%=12%

sp=[100+g]cp/100

sp=112*200/100

sp=Rs224

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

SP of an article at a Profit of 12 % is Rs. 224

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Case 1

Selling price of an article = Rs. 180

Loss = Rs. 20

$\boxed{\bf{Loss=CP-SP}}$

$\tt{\implies{20=CP-180}}$

$\tt{\implies{20+180=CP}}$

$\tt{\implies{CP=Rs.200}}$

So, CP of an article = Rs. 200

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Case 2 :-

CP of an article = Rs. 200

Profit % = 12 %

$\boxed{\bf{SP = CP \times \left[ \dfrac{100 + Profit \%}{100} \right] }}$

$\tt{\implies{SP = 200 \times \left[ \dfrac{100 + 12}{100} \right]}}$

$\tt{\implies{SP= 200 \times \dfrac{112}{100} }}$

$\tt{\implies{SP=2 \times 112}}$

$\tt{\implies{SP=224}}$

So, SP of an article at a Profit of 12 % is Rs. 224

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