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A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P to the M.P.
Question
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Solution
Let cost price [C.P] = Rs. 100
Profit
=50%
∴ Selling Price [S.P]
=C.P×[100+gain%]100=100×[100+50]100=100×150100=Rs.150
Rate of discount =25%
∴ Marked Price
=S.P×100100−discount%
=Rs.150×100100−25=Rs.150×10075
=Rs.200
Now Ratio between C.P and M.P
=Rs. 100 : Rs. 200 = 1 : 2
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