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Question : The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save INR 16,000 and INR 26,000, respectively, then what is the difference (in INR) between their expenditures?

Option 1: 5400

Option 2: 6800

Option 3: 5000

Option 4: 6000


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 6000


Solution : Let's see the incomes of A and B as I A ​ and I B , and their expenditures as E A and E B .
So, A' s saving = I A ​ − E A ​= 16,000
and B's saving = I B ​− E B ​= 26,000
Let the incomes of A and B be 3$k$ and 5$k$ respectively.
So, I A = 3$k$ and I B =  5$k$
⇒ E A = 3$k$ + 16000
and E B = 5$k$ + 26,000
So, according to the question
$\frac{3k - 16000}{5k - 26000}= \frac{4}{7}$
⇒ $21k - 112000 = 20k - 104000$
⇒ $k= 8000$
So, the incomes of A and B are 24000 and 40000 respectively.
E A = 24000 – 16000 = 8,000
E B ​ = 40000 – 26000 = 14,000
$\therefore$ Difference = 14000 – 8000 = 6,000
Hence, the correct answer is 6,000.

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