Answer: ₹ 140.25
Explanation:
Let the cost price of the article be ₹100.
Then, selling price at a loss of 15 % = 100 - 15 = ₹85
Selling price for a gain of 9 % = ₹109
Difference between the two selling prices =
₹109 - ₹85 = ₹24
If the difference is ₹24, cost price = ₹100
If the difference was ₹30.60, cost price =
100 * 30.60 /24 = ₹127.50
Therefore, for making a gain of 10 % on cost price, he should have sold the item for ₹127.5 * 110 / 100
Check:
Cost Price = ₹ 127.50
Selling price at a loss of 15 % = ₹ 127.50 * 85 / 100
= ₹108.38
If he had sold it for ₹30.60 more, then, selling price
= ₹108.38 + ₹30.60 = ₹138.98
%Profit at this selling price ( ₹138.98) =
(138.98 - 127.50) * 100 / 127.50 = 11.48 * 100 / 127.50
= 9.00% ✓
Selling price for 10 % profit = 127.50 * 110 / 100
= ₹140.25 ✓