Question

rohan spends 25% of his income . his income is increased by 40% and and he increased his expenditure by 20 %.
Find the % increasing in his saving ?

Answer 1

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✍ Method Of Solution!✍

☔ Let to be actual income = 100,

☔ Expenditure of his Income = 25%

➡ Now, Using Formula!

→ Income=Savings + Expenditure 

Therefore,

☔ Savings=Income - Expenditure

Hence,

☔ Initial savings = 100 - 25 => 75%

Now,
→ New income = 100 + 40%×100

☔ New Income = 100 + 40/100 × 100

→ 100 + 40 × 1

→ 100 + 40

→ 140

Now,

☔ New Expenditure = 25 + 20% × 25

☔ New Expenditure = 25 +5 = 30

→ New Saving = 140 - 30

→ New Saving = 110

Now, Increase in savings = New savings - Initial savings

→ 110 - 75

→ 35

Now, According to the Question!!

☔ Percentage of increasing in Savings!

→ 35/75 × 100

→ 46.66%

☔ Hence, 46.66 increasing in his Saving.

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Answer 2

Let income = 100,

Expenditure = 25,

saving = 75


Now,

New income = 100 + 40%(100) = 140


New Expenditure. = 25 + 20%(25) = 30


New Sav. = 140 - 30 = 110


Increased in Savings = 110-75 = 35


hence,
Percentage increase in savings = (35/75)x100 = 46.67%