IPMAT Indore 2023 QA: A goldsmith bought a large solid gold-ball at INR 1,000,000 and melted it ...

A goldsmith bought a large solid gold-ball at INR 1,000,000 and melted it to make a certain number of solid spherical beads such that the radius of each bead was one-fifth of the radius of the original ball. Assume that the cost of making the gold-beads is negligible. If the goldsmith sold all the beads at 20 % discount on the listed price and made a total profit of 20 %, then the listed price of each gold-bead, in INR, was:
a. 24000
b. 9600
c. 48000
d. 12000
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