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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?
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.
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