Maharashtra State BoardSSC (English Medium) 9th Standard
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Find the Annual Saving of Each of Them. - Algebra

Sum

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.

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Solution

Let the savings of Ramesh, Suresh and Preeti be 16x, 17x and 12x
Expenditure of Ramesh = 75% of income
So, Savings of Ramesh = 25% of income
We know
Saving = Income - expenditure
16= 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.

Concept: Saving and Investment
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 6 Financial Planning
Problem Set 6 | Q 7 | Page 107
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