55. A trader buys goods at 15/2% less than the list
price. He allows a discount of 10% on his goods.
If he wants to get a profit of 20%, at what per cent
above the list price should he mark the goods?
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Answer:
Let the List price(M.P) be 100 Rs.
He buys it at 15/2% off the list price
C.P = [100 - 100*(15/2)/100]
= (100 -15/2)
= 85/2
= 42.5 Rs.
P = 20%
S.P = C.P*(100+P)/100
= 42.5*120/100
= 51 Rs.
Discount = 10%
Discount is always given on M.P
S.P = M.P*(100-discount)/100
51 = M.P*90/100
M.P = 56.7 Rs.
The (assumed) list price was 100
Hence, mark up % = (56.7-100/100) * 100 = 55.7%
So he should mark 55.7 % above the list price.
Hope it helps
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