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Maharashtra State BoardSSC (English Medium) 9th Standard

Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earning he saves now ? - Algebra

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Question

Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earnings he saves now?

Sum

Solution

Let the Kailas's income be ₹ x.

Kailash used to spend 85% of his income.

∴ Money spent = `x xx 85/100`

= ₹ `(85x)/100`

Income − Expenditure = Savings

`x - (85x)/100` = Savings

∴ Savings = `(15x)/100`

Kailash's income increased by 36%.

∴ Kailash's increased income = `x + x xx 36/100`

= `x + (36x)/100`

= ₹ `(136x)/100`

Kailash expenses increased by 40%.

∴ Increased expenses of Kailash = `(85x)/100 + (85x)/100 xx 40/100`

= `(85x)/100 + (34x)/100`

= ₹ `(119x)/100`

Kailash's current savings = Income - Expenditure

= `(136x)/100 - (119x)/100`

= ₹ `(17x)/100`

Kailash's percentage of savings = `"Savings"/"Income" xx 100`

= `(17x)/100 + (136x)/100 xx 100`

=  `(17x)/100 + 100/(136x) xx 100`

= 12.5

Kailas now saves 12.5 percent of his earnings.

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Chapter 6: Financial Planning - Problem Set 6 [Page 107]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 6 Financial Planning
Problem Set 6 | Q (6) | Page 107

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