Question

A man spends 80% of his income .His income is increased by 20% and he increases his expenditure by 15% .Find the percentage increases in his savings.

Answer 1

Given:

A man spends 80% of his income

His income is increased by 20% and he increases his expenditure by 15%

To find:

The percentage increases in his savings.

Solution:

Let's assume the ma's income to be Rs. 100

So, if he spending 80% of his income i.e.,

His expenditure = $\frac{80}{100} \times 100$ = Rs. 80

∴ His savings will be = Rs. 100 - Rs. 80 = Rs. 20

According to the question, we have,

Income increases by 20%

∴ New income = $100 + \frac{20}{100}\times 100 = 100 + 20 = Rs. \: 120$

and

Expenditure increases by 15%

∴ New expenditure = $80+\frac{15}{100} \times 80 = 80 + 12 = Rs.\:92$

So, His new savings = Rs. 120 - Rs. 92 = Rs. 28

Now,

The increase in his savings = Rs. 28 - Rs. 20 = Rs. 8

∴ The percentage increase will be,

=  $\frac{Increase \:in \:the\:savings}{Intial \:savings} \times 100$

= $\frac{8}{20}\times 100$

= $0.4 \times 100$

= 40%

Thus, the percentage increase in his savings is 40%.

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Answer 2

Step-by-step explanation:

Given A man spends 80% of his income .His income is increased by 20% and he increases his expenditure by 15% .Find the percentage increase in his savings.

• Let the total income be Rs 100.
• Now he spends Rs 80 of his income
• So he saves 100 – 80 = Rs 20
• Now his income is increased by 20% so new income will be Rs 120
• Also his income is increases by 15%
• So 80 x 15 / 100 = 12
• So it will be 80 + 12 = 92
• Therefore he spends Rs 92 out of Rs 120
• So he saves 120 – 92 = Rs 28
• Therefore percentage increase in savings will be (28 – 20) / 20 x 100
•              = 8 x 5  
•             = 40%

Reference link will be

brainly.in/question/1791257