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The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 : 3. If each of A and B saves 1,000 per month, then what will be the monthly income of B ?
Explanation
To find the monthly income of B, we use the relationship Income - Expenditure = Savings. Let the monthly incomes of A and B be 7x and 10x, and their expenditures be 2y and 3y respectively. Given that each saves 1,000, we form two equations: 7x - 2y = 1,000 and 10x - 3y = 1,000. To solve for x, we multiply the first equation by 3 and the second by 2, resulting in 21x - 6y = 3,000 and 20x - 6y = 2,000. Subtracting the second from the first gives x = 1,000. Since the monthly income of B is represented by 10x, his income is 10 * 1,000 = 10,000. This method follows standard ratio and proportion techniques where finding the value of one 'part' or variable is the primary objective.
SIMILAR QUESTIONS
The monthly income of Komal and Asha are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both save Rs. 600 per month. What is their total monthly income ?
If 15% of A is double of 30% of B, then what is the ratio of A to B ?
5% of income of A is equal to 15% of income of B and 10% income of B is equal to 20% of income of C. If the income of C is Rs. 2,000, then what is the total income of A, B and C ?
The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. The highest income is of—
The following tables show the expenditure (in percentage) of two families A and B :
| Item | Family A (Income: 20,000) | Family B (Income: 1,00,000) |
|---|---|---|
| Food | 50% | 10% |
| Entertainment | 30% | 20% |
| Miscellaneous | 20% | 70% |
Which one among the following statements is true?