a person marks his 40 item at 20% of the cost price. he sells 10 iten at a 10 % discount and 20 items at a 15% discounts on the mark price what is the maximum discount he can offer on the remaining item if he still gets some profit
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Let the C.P. of the goods be Rs.100
∴ Marked price = Rs.140
Value of goods sold for cash =
5
3
×Rs.140=Rs.84
Value of goods sold on credit =
5
2
×Rs.140=Rs.56
S.P. of the goods sold on cash =90%ofRs.84=Rs.75.60
S.P. of the goods sold on credit =95%ofRs.56=Rs.53.20
∴ Total S.P. = Rs.128.80 ⇒ Profit = 28.80 i.e. 28.8%
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