Math, asked by Harshit221002, 1 year ago

A man saved 20% of his income.if his income decrease by 20% and he saves the same as before. by how much % his expenditure decrease?

Answers

Answered by siddhantsinha2402200
0

Answer:

16%

Step-by-step explanation:

let the income be x

saving =20%

therefore expenditure=80%

i.e (80/100)*x

after 20%decrease,

new income = (80/100)*x

therefore

new expenditure=80%of(80/100)*x[since he saves 20%]

=16/25*x

therefore decrease in expenditure

80/100x - 16/25x

=16/100x

=16%


siddhantsinha2402200: let the income be rs 100
siddhantsinha2402200: then acc to first case he saves rs 20 and spends rs 80
siddhantsinha2402200: now new income becomes rs 80
siddhantsinha2402200: but saving is still of rs 20
siddhantsinha2402200: therefore expenditure = rs 60
siddhantsinha2402200: decrease in expenditure= 80-60
siddhantsinha2402200: =rs20
siddhantsinha2402200: %decrease will be
siddhantsinha2402200: 20/80*100
siddhantsinha2402200: i.e = 25%
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