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Question

When a producer allows 36% commission on the retail price of his product he earns a profit of 8.8 % . What would be his profit percent if the commission is reduced by 24% ?


Options:
A .  48%
B .  48.5%
C .  49%
D .  49.6%
Answer: Option D

Let retail price = Rs. 100, commission Rs. Rs. 36.

`:.`    S.P. = Rs. (100 - 36) =  Rs. 64

        But , profit  = 8.8 %

`:.`   C.P. = Rs. `(100/108.8 xx 64) = Rs. 1000/17`

       New commission = Rs.12. New S.P. = Rs. (100 - 12)= Rs. 88

      Gain = Rs. `(88 - 1000/17)    = Rs.  496/17`

`:.`     Gain %  = `(496/17 xx 17/1000 xx 100)`% =  49.6%



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