Ratio, Proportion

Quantitative Aptitude (MTS)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

The ratio of the income of A and B is 1 : 2 and that of their expenditure is 2: 3. If 80% of B's expenditure is equal to the income

of A, then what is the ratio of the savings of A and B?

This questions was previously asked in

SSC MTS 20th October 2021 Shift-2

9:2

2:9

7:3

3:7

- The income ratio of A and B is given as 1:2. Let's denote their incomes by A = X and B = 2X.

- The expenditure ratio of A and B is given as 2:3. Let's denote their expenditures by A's expenditure = 2Y and B's expenditure = 3Y.

- It's mentioned that 80% of B's expenditure equals A's income, i.e., 0.8 * (3Y) = X. Therefore, X = 2.4Y.

- For savings, we use income - expenditure. For A, it's X - 2Y. For B, it's 2X - 3Y.

- Solve for savings: A's savings = 2.4Y - 2Y = 0.4Y and B's savings = (2 * 2.4Y) - 3Y = 4.8Y - 3Y = 1.8Y.

- Savings ratio is 0.4Y : 1.8Y, which simplifies to 2:9.