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IPMAT Indore 2023 - QA (MCQ) Q17 Explanation

Author : Akash Kumar Singh

December 30, 2024

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Explanation:

(a)

Let the radius of large ball = ‘R’

Let the radius of each bead = R/5

Number of beads = Volume of large ball/Volume of one bead

= 4/3π R^3 / 4/3π (R/5)^3 = 125

Given, cost price of the large ball = INR 1,000,000

So, the cost price of each ball = INR 1,000,000/125 = INR 8000

Profit earned on each bead is 20%. (given)

So, the selling price of each bead = INR 8000 x 1.2 = INR 9600….eq.(1)

Let the list price of each bead = INR ‘x’.

∴ 𝑥𝑚𝑖𝑛𝑖𝑚𝑢𝑚 = 8 Ans.