Averages , Ratio and Proportion Question 6 - CAT 2025
A certain amount of money was divided among Pinu, Meena, Rinu and Seema. Pinu received 20% of the total amount and Meena received 40% of the remaining amount. If Seema received 20% less than Pinu, the ratio of the amounts received by Pinu and Rinu is:
Step-by-Step Explanation
Assume the total aggregate money pool is 100 units to make the percentage calculations straightforward.
- Allocate the shares step-by-step:
- Pinu's Share: 20% of 100 = 20 units.
Remaining Balance = 100 − 20 = 80 units
- Meena's Share: 40% of the remaining balance = 0.40 × 80 = 32 units.
New Remaining Balance = 80 − 32 = 48 units
- Seema's Share: 20% less than Pinu's share. Since Pinu has 20 units:
Seema's Share = 20 − (20% of 20)
= 20 − 4
= 16 units
- Rinu's Share: Rinu receives the rest of the available 48 units balance:
Rinu's Share = 48 − 16 = 32 units
- Calculate the final targeted ratio:
Ratio of Pinu to Rinu = 20 : 32 = 5 : 8
Correct Option: C
💡 FundaMakers Tip:
When a tracking chain problem depends entirely on relative percentages without absolute values, set the base value to 100 immediately. This avoids fractional variables and lets you track the decreasing pool using quick mental math.