A trader offers 25% discount on the catalogue price of a radio and yet makes 20% profit . If he gains Rs.160 per radio ,what must be the catalogue price of the radio?
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Rs. 1280 is the catalogue price of the radio.
Step-by-step explanation:
Let 100 be the catalogue price of the radio
Discount offered on the catalogue price = 25%
Trade discount = 25/100 * 100 = Rs. 25
As we know,
S.P. = Catalogue price - Trade discount
= Rs. 100 - 25 = Rs. 75
The profit he gets = 20%
If we consider 100 be the C.P.
∵ S.P. = C.P. + profit
= 100 + 20% of 100
= 100 + 20 = Rs. 120
∵ For S.P. of Rs. 75
C.P. = (100 * 75)/120
= Rs. 62.5
∵ Profit = S.P. - C.P.
= 75 - 62.5
= Rs. 12.5
If the considered Catalogue price is 100, the profit is Rs. 12.5
In case of profit being Rs. 160
The catalogue price = (100 * 160)/12.5
= Rs. 1280
Thus, Rs. 1280 is the catalogue price of the radio.
Learn more: find the catalogue price
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