In the Chidambaram's family the ratio of expenses to the savings is 5 : 3.

Ques - In the Chidambaram's family the ratio of expenses to the savings is 5 : 3. But his expenses is increased by 60% and income increases by only 25% thus there is a deficit of Rs. 3500 in the savings. The increased income of Mr. Chidambaram's family is :

(a) Rs. 35,000

(b) Rs. 28,000

(c) Rs. 25,000

(d) Rs. 18,500

Solution -

The ratio of expenses to the savings is 5 : 3.

Let,

Expenses  = 5x

Saving = 3x

So,

Income = expenses + saving

= 5x + 3x

= 8x

But,

His expenses is increased by 60%.

= 5x + 5x(60/100)

= 5x + 3x

= 8x

and,

Income increases by only 25%.

= 8x + 8x(25/100)

= 8x + 2x

= 10x

Thus,

The new saving = 10x - 8x

= 2x

There is a deficit of Rs. 3500 in the savings.

So,

3x - 2x = 3500

x = 3500

Therefore,

The increased income of Mr. Chidambaram's family = 10x

= 10 × 3500

= 35,000

Hence,

The correct answer is option (a) Rs. 35,000.

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