Question

sam spends 95% of his income. his income increases by 15% and his expenditure increases by 10%. find the percentage increase in his savings.

Answer 1

HEY .......
SEE

SAM SPENDS 95%

MEANS HE SAVES ......
=100-95=5%

LET HIS SALARY AS 100RS .....

SO HIS EXPENDITURE WILL BE 95% OF 100
=95RS....

HIS SAVINGS WILL 100-95=5RS .....

NOW HIS INCOME INCREASED BY 15%

SO 15%OF 100=15

HIS NEW SALARY IS 100+5=115RS......

HIS EXPENDITURE INCREASED BY 10%

10%OF 95=9.5

SO HIS NEW EXPENDITURE
=95+9.5=104.5 RS.....

HIS SAVINGS WILL BE

=HIS SALARY- EXPENDITURE.....

=115-104.5=10.5

HIS PREVIOUS SAVING WAS OF RS 5

AND NOW IT IS 10.5 RS.....

SO 5 - 5.5
100-?

=100*5.5/5

=110%

so his saving increased by 110%

I hope it is right and helpful.....

if yes plz mark as brainliest......☺

THINK DIFFERENTLY....
BE BRAINLY......☺

Answer 2

Given: Sam spends 95% of his income. his income increases by 15% and his expenditure increases by 10%.

To find: The percentage increase in his savings.

Solution:

Let Sam's original income be x. According to the question, Sam's expenditure is 95% of his income and hence, it can be calculated as follows.

$expenditure = \frac{95}{100} *x$

                    $= \frac{19}{20} x$

If his expenditure is 95%, then his savings must be 5% of the income.

$savings = \frac{5}{100}*x$

             $= \frac{x}{20}$

Now, his income increases by 15% and his expenditure increases by 10%. So, his new income and expenditure can be calculated as follows.

$(income)_{new} = x+ (\frac{15}{100}x)$

                    $= \frac{115x}{100}$

                    $= \frac{23}{20}x$

$(expenditure)_{new} = \frac{19}{20}x + (\frac{10}{100} * \frac{19}{20}x)$

                            $= \frac{209}{200}x$

Now, his new savings can be calculated as

$savings = income - expenditure$

             $= \frac{23}{20}x - \frac{209}{200}x$

             $= \frac{21}{200}x$

Thus, to calculate the percentage increase of his savings, the following calculations are done.

$increase = \frac{\frac{21x}{200} - \frac{x}{20} }{\frac{x}{20} } * 100$

             $= \frac{\frac{11x}{200} }{\frac{x}{20} } *100$

             $= 110$

This means that the increase in savings is

$110 - 100 =10$

Therefore, the percentage increase in his savings si 10%.