Profit earned on selling a table for Rs 39 X 1600 39 is 50 more than the loss incurred on selling th...........

Quantitative Aptitude(IBPS CL) Profit and loss

Profit earned on selling a table for Rs. 'X + 1600' is 50% more than the loss incurred on selling the table for Rs. 'X + 100'. Had the table been sold for Rs. 'X', there would have been a loss of 43.75%. What is the cost price of the table?

This questions was previously asked in

IBPS Clerk Main (8th Oct 2022)

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Rs. 1500

Rs. 1600

Rs. 1800

Rs. 2000

Rs. 2400

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Explanation:

Correct option:2

Solution:

Let the cost price of the table be Y
ATQ (X + 1600) - Y = [Y - (X + 100)] x (3/2)
2X - 2Y + 3200 = 3Y - 3X - 300
5Y = 5X + 3500
Y = X + 700 ...(a)
Again, (Y - X)/Y = 7/16
16Y - 16X = 7Y
16X = 9Y ...(b)
From (a) and (b)
16k - 9k = 700
k = 100
The cost price of the table = Y = 16k = 1600 Rs. Hence, the correct answer is Rs. 1600.