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?

Answer 1

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