UGC NET CS 2011 Dec-Paper-2
January 22, 2024DSSSB TGT 2021
January 22, 2024Question 17327 – NTA UGC NET Dec 2023 Paper-1
Total monthly salary of a couple (husband and wife) is 2.0 lakh. Their salaries are in the ratio of 5:3. If husband and wife spend 40% and 20% of their salaries, respectively, what is the ratio of their savings?
Correct Answer: C
Question 37 Explanation:
Let’s denote the husband’s salary as 5x and the wife’s salary as 3x, where x is a common factor.
The total monthly salary is given as 2.0 lakh, so we have:
5x + 3x = 2.0 lakh 8x = 2.0 lakh x = 25,000
Now, the husband’s salary is 5x = 5 * 25,000 = 1,25,000, and the wife’s salary is 3x = 3 * 25,000 = 75,000.
The husband spends 40% of his salary: 0.4 * 1,25,000 = 50,000 The wife spends 20% of her salary: 0.2 * 75,000 = 15,000
Their total spending is 50,000 + 15,000 = 65,000.
Now, their total savings are their total salary minus their total spending:
Savings = Total salary – Total spending = (1,25,000 + 75,000) – 65,000 = 2,00,000 – 65,000 = 1,35,000
The ratio of their savings is then:
Husband’s savings : Wife’s savings = 1,25,000 – 50,000 : 75,000 – 15,000 = 75,000 : 60,000 = 5 : 4
The total monthly salary is given as 2.0 lakh, so we have:
5x + 3x = 2.0 lakh 8x = 2.0 lakh x = 25,000
Now, the husband’s salary is 5x = 5 * 25,000 = 1,25,000, and the wife’s salary is 3x = 3 * 25,000 = 75,000.
The husband spends 40% of his salary: 0.4 * 1,25,000 = 50,000 The wife spends 20% of her salary: 0.2 * 75,000 = 15,000
Their total spending is 50,000 + 15,000 = 65,000.
Now, their total savings are their total salary minus their total spending:
Savings = Total salary – Total spending = (1,25,000 + 75,000) – 65,000 = 2,00,000 – 65,000 = 1,35,000
The ratio of their savings is then:
Husband’s savings : Wife’s savings = 1,25,000 – 50,000 : 75,000 – 15,000 = 75,000 : 60,000 = 5 : 4
3:2
5:3
5:4
3:1
