if the profit of an artical is 62.5% . find the sellin price ?
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Let x be the cost price; then
(24-x)*100/x = Q; also
(24-x)*100/24 = 62.5*Q/100
(24-x)*100/24 = .625*(24-x)*100/x
=>x = 24*.625 = 15
=>Q=60%
Therefore, the new selling price = 24*1.6 = Rs.38.40
alternatively,
We can use convenient number. let Q be 20.
This implies c.p. is 20 and s.p. is 24. When you interchange, the loss is 100/6%.
If loss is 100/6% then c.p. is 20; actually we have to find for 62.5*Q%, which is equal to 12.5% or 100/8%.
If loss is 100/8% , then c.p. is 15. This implies Q is 60%.
Therefore, the required s.p. is 24*1.6=Rs.38.40
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