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SSC Selection Post 2022 PYQ — Question 57

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 3 • Quantitative Aptitude • Q57

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The ratio of the incomes of A and B is 5 : 7 and the ratio of their expenditures is 3 : 4. If A and B save ₹5,000 and ₹9,000, respectively, then what is the difference (in ₹) between the income of A and two times the savings of B?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 17,000.

                         A                          B

Income:          5x                       7x

Savings:        5000                 9000

Expenditure: 5x - 5000      7x - 9000

According to the question,

⇒ (5x−5000)(7x−9000)=34{(5x-5000)\over(7x-9000)}={3\over4}

⇒ 4(5x - 5000) = 3(7x - 9000)

⇒ 20x - 20000 = 21x - 27000

⇒ x = 7000

Income of A = 5x = 35000

Twice the savings of B = 18000

Difference = 35000 - 18000 = 17,000