Q10 of 48 Page 109

Gopi sold a watch to Ibrahim at 12% gain and Ibrahim sold it to John at a loss of 5%. If John paid Rs. 1,330, then find how much did Gopi sold it?

Given that,

Profit percent of gopi = 12%


S.P of Ibrahim = Rs. 1330


Loss percent of Ibrahim = 5%


Let the cost price of gopi = X


S.P of Gopi = C.P of Ibrahim = 12%



= 0.12X


Selling price = cost price + profit


⇒


⇒


⇒


∴ S.P of gopi = 1.12X = C.P of Ibrahim


To find the S.P of Ibrahim,




= 0.056X


∴ loss = 0.056X


Selling price = Cost price - loss


= 1.12X – 0.056X


= 1.064X


∴ Selling price of ibrahim = 1.064X


Given, S.P of Ibrahim = Rs. 1330


⇒1.064X = 1330


⇒


X = 1250


∴ The cost price of gopi is Rs. 1250


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