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Question
A ready-made garments shop in Delhi, allows a 20 percent discount on its garments and still makes a profit of 20 percent. Find the marked price of a dress which is bought by the shop-keeper for Rs.400.
Solution
C.P. of the dress = Rs.400
Profit `=20/100xx"Rs."400` = Rs.80
S.P. = C.P. + Profit
= Rs.400 + Rs.80
= Rs.480
Let, M.P. of the dress = Rs.100
Discount @ 20% `=20/100xx"Rs."100` = Rs.20
S.P. of the dress = M.P. − Discount
= Rs.100 − Rs.20
= Rs.80
If S.P. of the dress is ₹80; then M.P. = ₹100
If S.P. of the dress is ₹1 then M.P. = `₹100/80`
If S.P. of the dress is ₹480 then M.P.
`= ₹100/80xx480`
= ₹100 × 6 = 600
∴ M.P. of the dress = ₹600
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