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?OptionsRs.6500Rs.8000Rs.6000Rs.7500
Question
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?OptionsRs.6500Rs.8000Rs.6000Rs.7500
Solution
Let's denote A's salary as 'a' and B's salary as 'b'.
From the problem, we know that:
a + b = 14000 (since their combined salary is Rs. 14,000)
We also know that A spends 80% of his salary and B spends 85% of his salary, and their savings are equal. This means that:
a * (1 - 0.80) = b * (1 - 0.85)
Solving this equation gives us:
a * 0.20 = b * 0.15
We can simplify this to:
a/b = 0.15/0.20 = 0.75
Now we have a system of two equations:
a + b = 14000 a/b = 0.75
We can solve this system of equations to find the values of 'a' and 'b'.
First, let's express 'a' in terms of 'b' using the second equation:
a = 0.75b
Now we can substitute this into the first equation:
0.75b + b = 14000 1.75b = 14000 b = 14000 / 1.75 b = 8000
So, B's salary is Rs. 8000.
Similar Questions
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?
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 24000Rs 27000Rs 36000Rs 30000
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
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
Select the correct answerThe ratio of incomes of two persons A and B last year was 9:13. Ratio of their incomes of last year to this year is 9:10 and 13:15 respectively. The sum of their present incomes is Rs. 50,000. What is the present income of B?OptionsRs. 24,000Rs. 32,000Rs. 20,000Rs. 30,000
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.