Question

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Answer 1

Let the cost price of the radio be x. The seller marks 40% above the cost price.
∴, marked price = x+x×40/100
or, M.P=x+2x/5
or, M.P=(5x+2x)/5
or, M.P=7x/5
10% discount is allowed on spot cash payment.
∴, Discount=7x/5×10/100=7x/50
∴, Selling price = 7x/5-7x/50
or, S.P=(70x-7x)/50
or, S.P=63x/50
∴, Gain = 63x/50-x
=(63x-50x)/50
=13x/50
By the given question,
13x/50=325
or, 13x=325×50
or, x=(325×50)/13
or, x=25×50
or, x=1250
∴, The required cost price is Rs. 1250