Latest Capgemini Aptitude Question SOLUTION: A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the

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(#M40166732) CAPGEMINI Numerical Ability question Keep an EYE

A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first well for Rs. 2, the second one for Rs. 4, third for Rs. 6… and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?
A)32 B)18 C)24 D)27

Asked In Capgemini Devendra Marghade (4 years ago)

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Manoj Kumar  (4 years ago)

Let us assume he buys n goods.
Total CP = 20n
Total SP = 2 + 4 + 6 + 8 ….n terms
Total SP should be at least 40% more than total CP
2 + 4 + 6 + 8 ….n terms ≥ 1.4 * 20 n
2 (1 + 2 + 3 + ….n terms) ≥ 28n
n(n + 1) ≥ 28n
n2 + n ≥ 28n
n2 - 27n ≥ 0
n ≥ 27
The question is " If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?"
He should sell a minimum of 27 goods.

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