Knowee
Questions
Features
Study Tools

A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?

Question

A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote A's salary as 'a' and B's salary as 'b'.

From the problem, we know that:

  1. a + b = 2000 (since A and B’s salaries together amount to Rs. 2,000)

  2. A spends 95% of his salary and B spends 85% of his salary, which means they save 5% and 15% of their salaries respectively. Since their savings are the same, we can write this as:

0.05a = 0.15b

Now we have a system of two equations, and we can solve it step by step.

First, let's simplify the second equation. Divide both sides by 0.05, we get:

a = 3b

Now we can substitute a from the first equation (a = 2000 - b) into this equation:

2000 - b = 3b

Solving this equation gives:

2000 = 4b

So, b = 500

Substitute b = 500 into the first equation:

a + 500 = 2000

So, a = 1500

Therefore, A’s salary is Rs. 1500.

This problem has been solved

Similar Questions

The 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?

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

Select the correct answerThe incomes of two persons A and B are in the ratio 1: 2 and the ratio of their expenditures is 2: 5. If A saves Rs.20,000 and B saves Rs.35,000, what is the total income of A and B?Options60000300009000070000

The incomes of A and B are in the ratio 7 : 9. and their expenditures are in the ratio 3:5. Ifeach one saves 1200 Rs, then what is the income of A?

The ratio of income of A to that of B is 5 : 4 and the expenditure of A to that of B is 3: 2. If at the end of the year, each saves Rs, 800, the income of A is:

1/3

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.