SarkariPYQ

SSC Selection Post 2022 PYQ — Question 75

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 3 • Quantitative Aptitude • Q75

Back to paper

The ratio of the incomes of A and B is 3 : 4. The ratio of their expenditure is 7 : 10. If A and B save Rs.2,500 and Rs.3,000, respectively, then what is the ratio of the income of B to the expenditure of A and B?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 16 : 17.

Let the income of A = 3x,
Let the income of B = 4x.

Expenditure of A = 3x – 2500

Expenditure of B = 4x – 3000

Expenditure ratio = A : B = 7 : 10

3x−25004x−3000=710\frac{3x - 2500}{4x - 3000} = \frac{7}{10}

10(3x − 2500) = 7(4x − 3000)

30x − 25000 = 28x − 21000

2x = 4000

x = 2000

Income of A = 3 × 2000 = ₹6000

Income of B = 4 × 2000 = ₹8000

Expenditure of A = 6000 – 2500 = ₹3500

Expenditure of B = 8000 – 3000 = ₹5000

Income of B : (Expenditure of A + Expenditure of B) = 80003500+5000=80008500=1617\frac{8000}{3500 + 5000} = \frac{8000}{8500} = \frac{16}{17}