This PYQ is from

UGC-NET-Paper1

Maths

UGC-NET-Paper1 PYQs

Year-wise PYQs

Section-wise PYQs

Read the Question carefully and choose the correct option.
Total monthly salary of a couple (husband and wife) is Rs 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 ?

(1) 3:2
(2) 5:3
(3) 5:4
(4) 3:1

एक जोड़े (पति-पत्नी) का कुल मासिक वेतन 2.0 लाख रुपये है। इनका वेतन 5:3 के अनुपात में है. यदि पति और पत्नी अपने वेतन का क्रमशः 40% और 20% खर्च करते हैं, तो उनकी बचत का अनुपात क्या है?

(1) 3:2
(2) 5:3
(3) 5:4
(4) 3:1
This Question came in
UGC-NET-PhyEdu-07-December-2023-Shift-2-Q26
UGC-NET Paper 1 Full Course

To-the-point Video Lectures

Topic-wise PYQs

24x7 Doubt Solving

Detailed Explanation & Answer
Let the husband's salary be 5x and the wife's salary be 3x.
According to the given information -
5x + 3x = 2,00,000
So, x = 25,000
So, the husband's salary is 5 * 25,000 = Rs 1,25,000
And the wife's salary is 3 * 25,000 = Rs 75,000

Now, let's find the amount they spend:
Husband's spending = 40% of Rs 1,25,000 = Rs 50,000
Wife's spending = 20% of Rs 75,000 = Rs 15,000

Their total spending = Rs 50,000 + Rs 15,000 = Rs 65,000
Their total savings = Total salary - Total spending
= Rs 2,00,000 - Rs 65,000
= Rs 1,35,000

So, the ratio of their savings is:
Husband's savings : Wife's savings
= Rs 1,25,000 - Rs 50,000 : Rs 75,000 - Rs 15,000
= Rs 75,000 : Rs 60,000
= 5 : 4

Therefore, the correct answer is option (3) 5:4.
माना कि पति का वेतन 5x और पत्नी का वेतन 3x है।
दी गई जानकारी के अनुसार-
5x + 3x = 2,00,000
तो, x = 25,000
तो, पति का वेतन 5 * 25,000 = 1,25,000 रुपये है
और पत्नी की सैलरी 3*25,000 = 75,000 रुपये है

अब, आइए जानें कि वे कितनी राशि खर्च करते हैं:
पति का खर्च = 1,25,000 रुपये का 40% = 50,000 रुपये
पत्नी का खर्च = 75,000 रुपये का 20% = 15,000 रुपये

उनका कुल खर्च = 50,000 रुपये + 15,000 = 65,000 रुपये
उनकी कुल बचत = कुल वेतन - कुल खर्च
= 2,00,000 रुपये - 65,000 रुपये
= 1,35,000 रुपये

तो, उनकी बचत का अनुपात है:
पति की बचत : पत्नी की बचत
= 1,25,000 रुपये - 50,000 रुपये : 75,000 रुपये - 15,000 रुपये
= रु 75,000 : रु 60,000
= 5 : 4

इसलिए, सही उत्तर विकल्प (3) 5:4 है।
Hello, world! This is a toast message.