Averages , Ratio and Proportion Question 3 - CAT 2022

Question

Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to ₹3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be:

  • A. 4400
  • B. 4200
  • C. 4300
  • D. 4350

Step-by-Step Explanation

  • Determine the total savings target:

Target savings = ₹550 × 12 months = ₹6600

  • Analyze the first 9 months:

Monthly savings = Earnings − Expenses = 4000 − 3500 = ₹500

Savings accumulated in 9 months = 500 × 9 = ₹4500

  • Calculate requirements for the remaining 3 months:

Remaining savings needed = 6600 − 4500 = ₹2100

Required savings per month = 2100/3 = ₹700

Foreseen monthly expenses = ₹3700

Required monthly earnings = Expenses + Savings = 3700 + 700 = ₹4400

Correct Option: A

💡 FundaMakers Tip:

Break down annual financial targets into separate time blocks. Finding the total savings deficit (₹2100) before looking at the expense increase ensures your math stays simple and prevents calculation errors.


 

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