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IBPS PO Prelims 23 Aug 2025 Shift 1 Solved Paper

Question Numbers: 78-82

Directions: Study the following information carefully and answer the questions.

The table below shows the difference between the number of red and blue balls in five different bags (A, B, C, D, and E). It also provides the percentage of red balls out of the total number of balls in each bag.

Bag	Difference (Red - Blue)	Percentage of Red Balls (out of Total)
A	240	66.67%
B	150	60%
C	180	62.5%
D	210	75%
E	160	57.14%

Note: For each bag, the total number of balls is the sum of red and blue balls only.

Question : 81 of 100

Marks: +1, -0

If the number of red balls in Bag C is increased by 20% and the number of blue balls is decreased by 10%, find the new ratio of red balls to blue balls in Bag C.

14:11
7:3
18:7
20:9
None of these

Validate

Solution:

Concept:

Find the original red and blue balls in Bag C, apply the percentage changes, then simplify the new ratio.

Explanation:

For Bag C, red balls are

62.5\% = \frac{5}{8}

, so the ratio of red to blue is

5:3

The difference in parts is

5 - 3 = 2

parts, which equals

180

balls.

So,

1

part

= \frac{180}{2} = 90

balls.

Red balls

= 5 \times 90 = 450

Blue balls

= 3 \times 90 = 270

Now apply the changes:

Red increased by

20\%

450 \times 1.20 = 540

Blue decreased by

10\%

270 \times 0.90 = 243

New ratio

= 540:243

Divide both terms by

27

540 \div 27 = 20

243 \div 27 = 9

So the new ratio is

20:9

Answer:

20:9

(Option D).

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