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
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.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
