Question

a person spends 75% of his income income increased by 20% and expenses increased by 15% then find the percent increase in his savings

Answer 1

$\sf{\underline{Answer:}}$ $\sf{ 35\%}$

$\sf{\underline{Let\:us\:assume\:that:}}$

His income = $\sf{Rs.\:100}$

$\sf{\underline{Now\:according\:to\:the\:question:}}$

His expenditure $\sf{= 75\%}$ 

$\sf{\underline{That\:is:}}$ Rs. 75

$\sf{\underline{So:}}$

$\sf{\underline{His\:savings:}}$

$\boxed{\sf{s_{1} = 100 - 75 = Rs.\:25}}$

$\sf{\underline{Later:}}$

His income increases by $\sf{20\%}$ 

$\sf{\underline{That\:is:}}$

$\implies$ $\sf{ 100 + \frac{100 \times 20}{100}}$

$\implies$ $\sf{ 100 + \frac{2000}{100}}$

$\implies$ $\sf{ 100 + 20}$

$\implies$ $\sf{ Rs.\:120}$

$\sf{\underline{And:}}$

His expenditure increases by $\sf{15\%}$

$\sf{\underline{That\:is:}}$

$\implies$ $\sf{ 75 + \frac{75 \times 15}{100}}$

$\implies$ $\sf{ 75 + \frac{1125}{100}}$

$\implies$ $\sf{ 75 + 11.25}$

$\implies$ $\sf{ Rs.\:86.25}$

$\sf{\underline{So:}}$

$\sf{\underline{His\:savings:}}$

$\boxed{\sf{s_{2} = 120 - 86.25 = Rs.\:33.75}}$

$\sf{\underline{Here:}}$

$\sf{S_{2} = Rs.\:33.75}$

$\sf{S_{1} = Rs.\:25}$

$\sf{\underline{Increment\:in\:savings:}}$

$\implies$ $\boxed{\sf{ s_{2} - s_{1}}}$

$\implies$ $\sf{ 33.75 - 25}$

$\implies$ $\sf{ Rs.\:8.75}$

$\sf{\underline{Percentage\:increase:}}$

$\sf{\underline{That\:is:}}$

$\implies$ $\sf{ \frac{8.75}{25} \times 100}$

$\implies$ $\sf{ 0.35 \times 100}$

$\implies$ $\sf{ 35\%}$

$\sf{\underline{Answer:}}$ $\sf{ 35\%}$

Answer 2

Answer:

35%

Step-by-step explanation:

his expenditure=75% that is ₹75

his savings= 100-75=25___________EQUATION1

his income increased by 10%

=100+ 10×100/100

=₹120

his expenditure increased by 15%

=75+ 75×15/100

=75+45/4

=₹86.25

his savings=₹120-86.25

=₹33.25_______________EQUATION2

Now,

EQUATION2=33.75

EQUATION1=₹25

increment in saving=₹(s2-s1)

=₹(33.75-25)

=₹8.75

% increased =8.75/25×100

=0.35×100

=35%

HIS INCOME IN SAVINGS =35%

(((IT IS THE CORRECT ANSWER)))