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SSC GD 2024 PYQ — Question 55

SSC GD Const (English) - 20 Feb 2024 - Shift 1 • Quantitative Aptitude • Q55

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Both A and B sell their watch at the rate of Rs. 5000 per watch. A earned a profit of 25 percent while B incurred a loss of 10 percent. What is the ratio of cost prices of A and B?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 18:25.

Given that

The selling price of each watch is = 5000

Let the cost price to A be given by 'a' and the cost price to B be given by 'b'

A gains = 25%

The S.P of A is given by ⇒ 5000 = 125100\frac{125}{100} × a 

Hence, a = 5000 × 100125\frac{100}{125}

B losses = 10%

The S.P of B is given by ⇒  5000 = 90100\frac{90}{100} × b

Hence, b = 5000 × 10090\frac{100}{90}

The required ratio is given by ab\frac{a}{b} = 100125\frac{100}{125}  × 90100\frac{90}{100}  = 18 : 25

Hence, the ratio of cost prices of A and B is 18 : 25