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IBPS PO Mains 12 Oct 2025 Shift 1 Paper

Question Numbers: 141-144

Directions: Study the following pie chart carefully to answer the questions that follow.

The first table shows the cumulative number of ice creams (chocolate + vanilla) sold over four different days. The second table shows the percentage distribution of chocolate and vanilla ice creams sold on each day. Some data is missing.

Days	Total Ice Creams Sold
Monday	450
Till Tuesday	1010
Till Wednesday	1390
Till Thursday	2010

Days	Chocolate (%)	Vanilla (%)
Monday	4Q%	---
Tuesday	---	(4X - 20)%
Wednesday	(Q + X)%	---
Thursday	---	(3X + 10)%

Note:

The value of Q is the positive root of the equation Q² + 16Q − 465 = 0.

The value of X is the difference between the roots of the equation P² − 30P + 125 = 0.

Question : 142 of 145

Marks: +1, -0

If the total number of ice creams sold on Friday is 20% more than those sold on Wednesday, and the ratio of chocolate to vanilla ice creams on Friday is 7:12, what is the number of vanilla ice creams sold on Friday?

Validate

Solution:

Concept:

Use the given quadratic equations to find

Q

and

X

, then compute daily totals from cumulative data and apply the Friday ratio.

Explanation:

Solve for

Q

from

Q^2 + 16Q - 465 = 0

Q^2 + 31Q - 15Q - 465 = 0

Q(Q + 31) - 15(Q + 31) = 0

(Q - 15)(Q + 31) = 0

Since

Q

must be positive,

Q = 15

Solve for

P

from

P^2 - 30P + 125 = 0

P^2 - 25P - 5P + 125 = 0

P(P - 25) - 5(P - 25) = 0

(P - 5)(P - 25) = 0

Roots are

25

and

5

, so

X = 25 - 5 = 20

Compute daily totals from the given cumulative values:

Monday

= 450

Tuesday

= 1010 - 450 = 560

Wednesday

= 1390 - 1010 = 380

Thursday

= 2010 - 1390 = 620

Friday's total is

20\%

more than Wednesday's total:

\text{Friday total} = 380 + (20\% \text{ of } 380) = 380 + 76 = 456

Chocolate to vanilla ratio on Friday is

7 : 12

Total parts

= 7 + 12 = 19

Vanilla sold on Friday

= \frac{12}{19} \times 456 = 12 \times 24 = 288

Answer:

The number of vanilla ice creams sold on Friday is

288

, which matches option C.

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