Question : The ratio of incomes of C and D is 3 : 4 respectively. The sum of their expenditure is Rs.12,000. Savings of C is the same as that of the expenditure of D. What is the sum of their savings?
Option 1: Rs. 25,000
Option 2: Rs. 15,000
Option 3: Rs. 20,000
Option 4: Rs. 16,000
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Correct Answer: Rs. 16,000
Solution :
Let the income of C be 3$x$ and D be 4$x$.
We know that, Income = Expenditure + Savings
Income of C = $3x$
Let expenditure of C be $y$
Then, savings of C = $3x-y$
Income of D = $4x$
Let expenditure of D be $z$
Then, savings of D = $4x-z$
Given: sum of expenditure = Rs. 12,000
$y+z$ = Rs. 12000
Now, savings of C = expenditure of D
⇒ $3x-y = z$
⇒ $3x = y+z$
Putting the value of $y+z$, we get
⇒ $3x$ = 12000
$\therefore x$ = 4000
Thus, the income of C = 3 × 4000 = 12,000
The income of D = 4 × 4000 = 16,000
Sum of incomes = 12000 + 16000 = 28,000
Savings = sum of incomes – sum of expenditure.
= 28000 – 12000 = 16,000
Hence, the correct answer is Rs. 16,000.
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