Question

One-fifth of Mehul’s expenditure is equal to one-third of his savings. If his monthly income is Rs. 9600, what will be his total savings in a year?

A. Rs. 36000
B. Rs. 43200
C. Rs. 72000
D. Rs. 60000
E. None of the above

Answer 1

Mehul's total savings in a year will be Rs. 72000.

Step-by-step explanation:

To find Mehul's total savings in a year, we need to determine his monthly savings first. According to the information given, one-fifth of his expenditure is equal to one-third of his savings. Let's assume Mehul's expenditure in a month is X and his savings in a month is Y.

From the given information, we can set up the equation:

(1/5) * X = (1/3) * Y

Since his monthly income is Rs. 9600, his expenditure in a month will be Rs. 9600 - X. Substituting these values into the equation, we get:

(1/5) * (9600 - X) = (1/3) * Y

Now, we can solve for Y:

(9600 - X) / 5 = Y / 3

Simplifying the equation, we have:

3 * (9600 - X) = 5 * Y

Expanding and simplifying further:

28800 - 3X = 5Y

Now, we know that Mehul's income is Rs. 9600, so his expenditure in a month is Rs. 9600 - X. We can substitute these values into the equation:

28800 - 3(9600 - X) = 5Y

Simplifying the equation further:

28800 - 28800 + 3X = 5Y

3X = 5Y

Since the equation is balanced, we can conclude that the ratio of X to Y is 3:5. Therefore, Mehul's monthly savings is Rs. 9600 * (5/8) = Rs. 6000.

Finally, to find his total savings in a year, we can multiply his monthly savings by 12:

Total savings in a year = Rs. 6000 * 12 = Rs. 72000.