Question

Ramesh saves 25% of his salary. His
income is increased by 25% and he
increases his expenditure by 10%. Find
the percentage increase in his savings.
(a) 30%
(b) 50%
(c) 70%
(d) None of the above​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Ramesh saves 25% of his salary. His income is increased by 25% and he increases his expenditure by 10%. Find the percentage increase in his savings.

(a) 30%

(b) 50%

(c) 70%

(d) None of the above

EVALUATION

Let the income of Ramesh = Rs 100

Now Ramesh saves 25% of his salary.

∴ Savings of Ramesh = Rs 25

∴ Expenditure of Ramesh

= Rs ( 100 - 25 )

= Rs 75

Now his income is increased by 25%

∴ New salary of Ramesh

= Rs ( 100 + 25 )

= Rs 125

Again Ramesh increases his expenditure by 10%

New expenditure of Ramesh

$\displaystyle \sf{ =Rs. \: \: 75 \times \frac{110}{100} }$

$= \displaystyle \sf{ Rs. \: \: 82.5 }$

∴ New savings

= Rs ( 125 - 82.5 )

= Rs 42.5

Increment in savings

= Rs ( 42.5 - 25 )

= Rs 17.5

∴ Rate of increase

$\displaystyle \sf{ = \frac{17.5}{25} \times 100 \: \%}$

$\displaystyle \sf{ = 70 \: \%}$

FINAL ANSWER

The correct option is (c) 70%

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Answer 2

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Let the income of Ramesh = Rs 100

Now Ramesh saves 25% of his salary.

∴ Savings of Ramesh = Rs 25

∴ Expenditure of Ramesh

= Rs ( 100 - 25 )

= Rs 75

Now his income is increased by 25%

∴ New salary of Ramesh

= Rs ( 100 + 25 )

= Rs 125

Again Ramesh increases his expenditure by 10%

New expenditure of Ramesh

→ Rs.75× 110/100

→ Rs.82.5

∴ New savings

= Rs ( 125 - 82.5 )

= Rs 42.5

Increment in savings

= Rs ( 42.5 - 25 )

= Rs 17.5

∴ Rate of increases

→ 17.5/25 ×100%

→ 70%

The correct option is (c) 70%