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Question
John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it?
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Solution
Mohan paid for the article = Rs.912
∵ Peter sold the article to Mohan
∴ For peter :
S.P. = Rs.912
Loss = 5%
C.P. =`100/((100-"Loss"%))xx"S.P."`
`=100/((100-5))xx"Rs."912`
= RS.`(100xx912)/95`
= 20 × 48 = Rs.960
John sold the same article to Peter
∴ For John :
S.P. = Rs.960
Profit = 20%
C.P. =`100/((100+"Profit"%))xx"S.P."`
`=100/((100+20))xx"Rs."960`
= Rs.`100/120xx960`
= Rs. 100 × 8 = Rs.800
Hence, John paid for article = Rs.800
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