The ratio of monthly salary of Purnima and Manav are 6 11 and the ratio of monthly expenditure of Purnima and Manav is 4 9 If monthly income of Purnima is 25 less than what Manav spent and saving of...

Solution By Steps

Step 1: Define Variables Let the monthly salary of Purnima and Manav be $6x$ and $11x$ respectively. Let their monthly expenditures be $4y$ and $9y$ respectively.

Step 2: Calculate Savings Savings = Salary - Expenditure

• Purnima's savings: $6x-4y$
• Manav's savings: $11x-9y$

Step 3: Relate Purnima's Income to Manav's Expenditure Given that Purnima's income is 25% less than what Manav spent: $$6x=0.75\times 9y$$ $$6x=6.75y$$ $$x=1.125y$$

Step 4: Calculate Purnima's Savings Substitute $x=1.125y$ into Purnima's savings: $$6x-4y=6(1.125y)-4y=6.75y-4y=2.75y$$

Step 5: Calculate Kritika's Savings Given that Kritika's savings is 2.4 times Purnima's savings: $$2.4\times 2.75y=6.6y$$

Step 6: Calculate Manav's Savings Substitute $x=1.125y$ into Manav's savings: $$11x-9y=11(1.125y)-9y=12.375y-9y=3.375y$$

Step 7: Calculate Percentage of Kritika's Savings to Manav's Savings $$\text{Percentage}=\left(\frac{6.6y}{3.375y}\right)\times 100=\left(\frac{6.6}{3.375}\right)\times 100\approx 195.56\%$$

Final Answer

Kritika's savings is approximately 195.56% of Manav's savings.