IBPS PO Quantitative Aptitude: Ratio & Proportion questions with solutions

Q1. Ria, Ram and Pooja scored total 74 marks. Ria:Pooja = 4:5. Pooja:Ram = 3:2. Find Ram's marks.

1. 30
2. 20
3. 24
4. 28

Answer: 20

Scale Ria:Pooja=4:5→12:15. Scale Pooja:Ram=3:2→15:10. Ratio=12:15:10, total=37 parts=74 marks. 1 part=2. Ram=10×2=20 marks.

Q2. A, B, C divide ₹4200 in ratio 7:8:6. ₹200 added to each share. New ratio?

1. 9:8:7
2. 8:9:7
3. 8:9:8
4. 9:10:8

Answer: 8:9:7

Each part = 4200/21=200. A=7×200=1400, B=8×200=1600, C=6×200=1200. After adding ₹200 each: A=1600, B=1800, C=1400. New ratio=1600:1800:1400=8:9:7.

Q3. Ratul=20% more than Rakesh. Rakesh=50% more than Rudra. Total=₹3,225. Find Ratul's investment.

1. ₹1,450
2. ₹1,500
3. ₹1,050
4. ₹1,350

Answer: ₹1,350

Let Rudra=x. Rakesh=1.5x, Ratul=1.2×1.5x=1.8x. Total=x+1.5x+1.8x=4.3x=3225 → x=750. Ratul=1.8×750=₹1,350.

Q4. Total 550 students for mathematics and science. Find required ratio.

1. 7:5
2. 23:50
3. 7:50
4. 50:7

Answer: 7:50

Using total 550 students and the specified conditions, the required ratio between the two groups is 7:50.