Total income of A, B and C is 6060 and they spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 5:6:9. Find the income of A?OptionsRs 1400Rs 1300Rs 1500Rs 1600
Question
Total income of A, B and C is 6060 and they spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 5:6:9. Find the income of A?OptionsRs 1400Rs 1300Rs 1500Rs 1600
Solution
Let's solve this step by step:
Step 1: We know that savings is income minus expenditure. Given that A, B, and C spend 80%, 85%, and 75% of their incomes respectively, they save 20%, 15%, and 25% of their incomes respectively.
Step 2: We are given that the savings of A, B, and C are in the ratio 5:6:9. This means that 20% of A's income is to 15% of B's income is to 25% of C's income as 5 is to 6 is to 9.
Step 3: Let's assume the incomes of A, B, and C to be a, b, and c respectively. We can write the equation as follows:
20/100 * a / 15/100 * b = 5/6 20/100 * a / 25/100 * c = 5/9
Step 4: We are also given that the total income of A, B, and C is 6060. So, we have the equation:
a + b + c = 6060
Step 5: Now, we have three equations, and we can solve them to find the values of a, b, and c.
Solving these equations, we find that the income of A (a) is Rs 1500. So, the correct option is Rs 1500.
Similar Questions
Select the correct answerA, B and C spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 8:9:20 and the difference between the incomes of A and C is Rs 18000, then the income of B is?OptionsRs 30000Rs 24000Rs 27000Rs 36000
The income of A, B and C are in the ratio 7: 9: 12 and their expenditure are in the ratio 8 : 9 : 15. If a saves 1/4 of his income. Find the ratio of savings of A, B and C.
The incomes of A, B and C are in the ratio 5:8:13 and their spendings are in the ratio 3 :5 : 11. If A saves ¼ th of his income, then the savings of A, B and C are in the ratio of*1) 9 : 6 : 82) 4 : 7 : 93) 1 : 2 : 14) 5 : 9 : 6
Select the correct answerThe salaries of A and B together amounts to Rs. 14,000. A spends 80% of his salary and B spends 85% of his salary. What is the salary of B if their savings are equal?OptionsRs.6000Rs.7500Rs.6500Rs.8000
The ratio of the monthly incomes of A and B is 3:4. The ratio of the monthly expenditures of A and B is 4:5. Which of the following represents a possible value of the ratio of their savings?a.13:20b.9:10c.4:5d.3:4
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.