Question
A furniture dealer bought 10 sofas and 18 coffee tables
for Rs. 11,340. He sold all the sofas at a profit of 22% and all the coffee tables at a profit of 16% and earned a profit of Rs. 1800. Find the profit earned if he sold 4 sofas and 8 coffee tables for Rs. 5200.Solution
ATQ, Let cost price of 10 sofas be Rs. ‘x’ and cost price of 18 coffee tables be Rs. ‘y’. So, x + y = 11340 And 0.22 × x + 0.16 × y = 1800 Or, 0.22 × (11340 – y) + 0.16y = 1800 Or, 0.06y = 648 Or, y = 10,800 So, x = 11340 – 6480 = 4860 Cost price of a sofa = 4860/10 = Rs. 486 Cost price of a coffee table = 6480/18 = Rs. 360 Cost price of 4 sofas and 8 coffee tables = 486 × 4 + 360 × 8 = Rs. 4224 Desired Percentage = [(5200 – 4224)/4224] × 100 = 23.1%
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