Qstnid -B-12- 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? - 08: Profit, Loss And Discount Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 4

Qstn# B-12 Prvs-Qstn Next-Qstn

#12
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?
Ans : 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%) × S.P.
= 100/(100 - 5) × 912
= Rs. (100 × 912)/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%) × S.P.
= 100/(100 + 20) × Rs. 960
= Rs. 100/120 × 960
= Rs. 100 × 8
= Rs. 800
Hence, John paid for the article = Rs. 800