The salaries of A and B together amount to Rs. 2000. A spends 95% of his salary and B 85% of his. If how, their savings are the same, then what is A’s salary?A1500B1000C2000D4000
Question
The salaries of A and B together amount to Rs. 2000. A spends 95% of his salary and B 85% of his. If how, their savings are the same, then what is A’s salary?A1500B1000C2000D4000
Solution
Let's denote A's salary as 'a' and B's salary as 'b'.
From the problem, we know that:
-
a + b = 2000 (since their combined salary is Rs. 2000)
-
A spends 95% of his salary and B spends 85% of his salary. This means that A saves 5% of his salary and B saves 15% of his salary.
Since their savings are the same, we can write this as:
0.05a = 0.15b
To solve for 'a', we can rearrange the equation to get:
a = 3b
Now we can substitute 'a' from the second equation into the first equation:
3b + b = 2000 4b = 2000 b = 500
Substitute b = 500 into a = 3b to get a = 1500
So, A's salary is Rs. 1500. The answer is A1500.
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
Incomes of A and B are in the ratio 9:10. Their expenditures are in the ratio 4:5. If they save Rs.6000 and Rs. 5000 respectively, what is the sum of their incomes?Question 3Answera.64,000b.57,000c.19,000/-d.38,000/
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:
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.