Aryan and Kabir invest in a joint venture for the same duration. Aryan invests ₹14,000 more than Kabir. The total profit is ₹2000, and Aryan’s share of the profit exceeds Kabir’s by ₹400.

Consider the following statements:
Statement I: Kabir invested ₹16,000.
Statement II: Aryan invested ₹30,000.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Aryan and Kabir invest in a joint venture for the same duration. Aryan invests ₹14,000 more than Kabir. The total profit is ₹2000, and Aryan&rsquo;s share of the profit exceeds Kabir&rsquo;s by ₹400.

Consider the following statements:
Statement I: Kabir invested ₹16,000.
Statement II: Aryan invested ₹30,000.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let Kabir's investment = ₹x
Then Aryan's investment = ₹x + 14,000
Since both invested for the same duration, profit is divided in the ratio of their investments.

Let total profit = ₹2000, and difference in their shares = ₹400
So, Aryan gets ₹1200, Kabir gets ₹800 &rarr; Ratio = 1200:800 = 3:2

Now solve:
(x + 14000)/x = 3/2​

We get, x = ₹28,000
So Aryan = x + 14,000 = ₹42,000

Now check the statements:

Statement I: Kabir invested ₹16,000, incorrect.

Statement II: Aryan invested ₹30,000, incorrect

Hence, option d is correct.

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