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

Raj always saves 65% of his salary. If his salary decreases by 40% , his savings will decrease by $390. How much is Raj's original salary?

The ratio of the incomes of A and B is 5:4 and the ratio of their expenditures is 3:2 if at the end of the year, each saves Rs 1600,Find the inccome of A.

A saves 12% of her income. If she spends Rs.2,16,128,then her income is?OptionsRS.2,43,560RS.2,45,600RS.2,48,000RS.2,42,063

If a man after spending 97% of his income, saves Rs.300 per month, his annual income is :A10000B12000C36000D120000

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. Salary of C is how much more than A?

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.