2
By selling an article for 2720 a shopkeeper
Suffered a loss of 15% · find the cost price of the
auticle.
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Solution!!
The selling price (SP) of the article is given. The loss in percent is also given. We have to find the cost price (CP) of the article.
Loss% = ((CP - SP)/CP) × 100
15 = ((CP - 2720)/CP) × 100
15 ÷ 100 = (CP - 2720)/CP
0.15 = (CP - 2720)/CP
0.15 CP = CP - 2720
2720 = CP - 0.15 CP
2720 = 0.85 CP
2720 ÷ 0.85 = CP
CP = Rs 3200
Verification:-
CP = Rs 3200
SP = Rs 2720
CP>SP
Loss = CP - SP
Loss = Rs 3200 - Rs 2720
Loss = Rs 480
Loss% = (Loss/CP) × 100
Loss% = (480/3200) × 100
Loss% = 15
Hence, verified.
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