Hi,

To find the percentage increase in Raj's savings after his income and expenditure increase, we need to follow these steps:

1. Initial Income and Expenditure :

   • Income: 45,00045,00045,000
   • Expenditure: 33,00033,00033,000

2. Initial Savings :

   • Savings = Income - Expenditure
   • Initial Savings = 45,000−33,000=12,00045,000 - 33,000 = 12,00045,000−33,000=12,000

3. Increased Income and Expenditure :

   • Increased Income = 45,000+(20% of 45,000)45,000 + (20\% \text{ of } 45,000)45,000+(20% of 45,000) =45,000+0.20×45,000=45,000+9,000=54,000= 45,000 + 0.20 \times 45,000 = 45,000 + 9,000 = 54,000=45,000+0.20×45,000=45,000+9,000=54,000
   • Increased Expenditure = 33,000+(12% of 33,000)33,000 + (12\% \text{ of } 33,000)33,000+(12% of 33,000) =33,000+0.12×33,000=33,000+3,960=36,960= 33,000 + 0.12 \times 33,000 = 33,000 + 3,960 = 36,960=33,000+0.12×33,000=33,000+3,960=36,960

4. New Savings :

   • New Savings = Increased Income - Increased Expenditure
   • New Savings = 54,000−36,960=17,04054,000 - 36,960 = 17,04054,000−36,960=17,040

5. Percentage Increase in Savings :

   • Increase in Savings = New Savings - Initial Savings =17,040−12,000=5,040= 17,040 - 12,000 = 5,040=17,040−12,000=5,040
   • Percentage Increase in Savings = Increase in SavingsInitial Savings×100\Initial Savings = 5,040/12,000×100 = 42%

So, the percentage increase in Raj's savings is 42% .

Hope it helps!