Gopi sold a watch to Ibrahim at 12 percentage gain and Ibrahim sold to John at a loss of 5% if john paid ₹1330,then find how much did Gopi sold it
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Step-by-step explanation:
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
profit=cost price×profit%
=12x
100
=0.12x
Selling price = cost price + profit
⇒x+0.12x
⇒x(1+0.12)
⇒1.12x
∴ 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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