Mahesh and Umesh purchase a radio each for the same price and both mark up their respective radios by the same amount. Mahesh gives a discount of Rs.20 followed by another discount of 20% on the reduced price, while Umesh gives a discount of 20% followed a discount of Rs.20. If Mahesh's profit percent is equal to thrice Umesh's loss percent, The profit (in Rs.) of Mahesh on his radio is :

Explanation

Purchase price=P

Markup price=M

Mahesh=(M-20)-20%(M-20)

`=(M-20)-20/100(M-20)=4/5(M-20)`

Umesh=(M-20%M)-20

`=4/5M-20`

Mahesh profit=3 umesh loss

`4/5(M-20)-P=3(P-4/5M+20)`

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