Total income of Ramesh, Suresh and Preeti is 8,07,000 rupees. The percentages of their expenses are 75%, 80% and 90% respectively. If the ratio of their savings is 16 : 17 : 12, then find the annual saving of each of them.

#### Solution

Let the savings of Ramesh, Suresh and Preeti be 16*x*, 17*x* and 12*x*.

Expenditure of Ramesh = 75% of income

So, Savings of Ramesh = 25% of income

We know

Saving = Income - expenditure

16*x *= 25 % of income

⇒ `16x = 25/100 "( Income of Ramesh)"`

⇒ `64x = "( Income of Ramesh)"`

Similarly, Savings of Suresh = 20% of his income

So,

`17x = 20% "( income of Suresh)"`

⇒ `17x = 20/100 "( income of Suresh)"`

⇒ ` 85x = "( income of Suresh)"`

Savings of Preeti = 10% of her income

⇒ `12x = 10/100 "( income of Preeti)"`

⇒ `120x = "( income of Preeti)"`

Given that total income of Ramesh, Suresh and Preeti is 8,07,000.

64x + 85x + 120x = 807000

⇒ 269x = 807000

⇒ x = Rs. 3000.

Savings of Ramesh = Rs 16 x 3000 = Rs. 48000

Savings of Suresh = Rs 85 x 3000 = Rs. 51000

Savings of Preeti = Rs 120 x 3000 = Rs. 36000.