Question

Vinod sold a watch to Arun at a gain of 12% and Arun had to sell it to Manoj at a loss of 5%. If Manoj paid rs 3990 for it, how much did Vinod pay for the watch

Answer 1

Let the CP for Vinod be Rs.x.
Profit%. = 12%
SP for Vinod = (1+r/100)*CP
= (1+12/100)*Rs.x
= Rs.28x/25
SP for Vinod = CP for Arun
CP for Arun. = Rs.28x/25
Loss%. = 5%
SP for Arun. = (1-r/100)*CP
= (1-5/100)*Rs.28x/25
= 24/25*Rs.28x/25
= Rs. 6x/7
SP for Arun = CP for Manoj
CP for Manoj= Rs.6x/7
But the given CP for Manoj is Rs.3990.
Rs.6x/7. = Rs.3990
Rs.x. = Rs.3990*7/6
= Rs. 4655

Ans.= Vinod paid Rs.4655 for the watch.



Hope this helps you!