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IBPS PO Mains 30 Nov 2024 Shift 2 Paper

Question Numbers: 140-142

Directions: Read the following information carefully and answer the questions based on it.

There are three shops A, B, and C that sell macaroons. The number of customers in C is greater than B, and the number of customers in B is greater than A. The difference between the customers in A and B is exactly 1 less than the difference between the customers in B and C. The ratio of customers in B and C is 4:5. Each customer in shops B and C buys the same number of macaroons. The total macaroons sold by A and C are equal. Together, all three shops sell 168 macaroons.

Question : 142 of 155

Marks: +1, -0

How many macaroons does each customer in shop C purchase?

Validate

Solution:

Concept:

Use variables for customers and macaroons, then solve the given ratio and total equations.

Explanation:

Let

C_A, C_B, C_C

be the number of customers in shops

A, B, C

Given

C_B : C_C = 4 : 5

, let

C_B = 4x

and

C_C = 5x

Gap condition:

(C_B - C_A) = (C_C - C_B) - 1

4x - C_A = x - 1

, giving

C_A = 3x + 1

Let

m

be the macaroons per customer in shops

B

and

C

, since

m_B = m_C

Then

M_B = 4x \cdot m

and

M_C = 5x \cdot m

Given

M_A = M_C

, so

M_A = 5x \cdot m

Total macaroons:

M_A + M_B + M_C = 5xm + 4xm + 5xm = 14xm = 168

Hence

xm = 12

Also

M_A = C_A \cdot m_A = (3x+1)m_A = M_C = 5xm = 60

(3x+1)m_A = 60

Using

xm = 12

, check

x = 3

3m = 12 \Rightarrow m = 4

Also

(3 \times 3 + 1)m_A = 10m_A = 60 \Rightarrow m_A = 6

, which is valid.

Thus each customer in shop

C

purchases

m = 4

macaroons.

Answer:

4

(Option E)

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