Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to
Explanation:
Let the selling price be Rs. x
Cost price of item sold to A = x/1.2 Cost price of item sold to B = x/0.9
To make calculations easier assume x = 108 (LCM of 12 and 9)
∴ Cost price of item sold to A = x/1.2 = 90 ∴ Cost price of item sold to B = x/0.9 = 120
Now, selling price is increased such that a profit of 10% is made for item B. ⇒ New selling price = 120 × 1.1 = Rs. 132
∴ For A, cost price = Rs. 90 and selling price = Rs. 132. ⇒ % profit for A = (132-90)90 × 100% = 46.66% ≈ 47%.
Hence, option (d).
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