# Aseem's expenditure and savings are in ratio 5:1. If his salary is increased by 25% and his saving is increased by 15%. What percent does his expenditure increase?

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Let the expenditure be 5a and the savings be a

so total salary = 5a + a = 6a

on 25 % increment

6a x 25 % + 6a = 6a/4 + 6a = 15a/2

so increment in the savings = 15 %

let the savings amount be b

⇒ (b-a)/a x 100 = 15

⇒ b = 15 x a/100 + a

⇒ b = 23a/20

so total expenditure amount = 15a/2 - 23a/20 = 127a/20

so increase = 127a/20 - 5a = 27a/20

percent increase = 27a/100a x 100 = 27 %__ANSWER__

so total salary = 5a + a = 6a

on 25 % increment

6a x 25 % + 6a = 6a/4 + 6a = 15a/2

so increment in the savings = 15 %

let the savings amount be b

⇒ (b-a)/a x 100 = 15

⇒ b = 15 x a/100 + a

⇒ b = 23a/20

so total expenditure amount = 15a/2 - 23a/20 = 127a/20

so increase = 127a/20 - 5a = 27a/20

percent increase = 27a/100a x 100 = 27 %

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Old Salary = T Expenditure = E and savings = S

new salary = T" new expenditure = E" new savings = S"

E : S = 5 : 1 => E = 5 S

Salary = T = E + S = 6 S

S" = S + 15/100 S = 23 S/20

T" = T + T* 25/100 = 5 T /4 = 5*6S/4 = 15 S/2

T" = E" + S"

15 S / 2 = E" + 23 S /20

=> E" = 15 S/2 - 23 S /20 = 127 S /20

So expenditure increased from E = 5 S to E" = 127S /20

* % increase = [127/20 - 5] * 100 / 5 = 27 % *

new salary = T" new expenditure = E" new savings = S"

E : S = 5 : 1 => E = 5 S

Salary = T = E + S = 6 S

S" = S + 15/100 S = 23 S/20

T" = T + T* 25/100 = 5 T /4 = 5*6S/4 = 15 S/2

T" = E" + S"

15 S / 2 = E" + 23 S /20

=> E" = 15 S/2 - 23 S /20 = 127 S /20

So expenditure increased from E = 5 S to E" = 127S /20