Question
A merchant bought 12 desks and 20 stools for Rs. 9600.
He sold all the desks at a profit of 25% and all the stools at a profit of 15% and earned a profit of Rs. 1800. Find the approximate profit earned if he sold 6 desks and 12 stools for Rs. 7500.Solution
ATQ, Let cost price of 12 desks be Rs. ‘x’ and cost price of 20 stools be Rs. ‘y’. So, x + y = 9600 And 0.25 × x + 0.15 × y = 1800 Or, 0.25 × (9600 – y) + 0.15y = 1800 Or, 0.10y = 600 Or, y = 6000 So, x = 9600 – 6000 = 3600 Cost price of a desk = 3600/12 = Rs. 300 Cost price of a stool = 6000/20 = Rs. 300 Cost price of 6 desks and 12 stools = 300 × 6 + 300 × 12 = Rs. 5400 Desired Percentage = [(7500 – 5400)/5400] × 100 = 38.89% or ~ 39%
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