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Multiple Choice Questions

Aman Preeti and Shristi started a partnership with an investment of Rs X 1200 Rs X and Rs X 1800 res...........

Quantitative Aptitude(IBPS PO) Partnership

Aman, Preeti, and Shristi started a partnership with an investment of Rs. X - 1200, Rs. X and Rs. X + 1800 respectively. If the profit of Preeti is invested in a scheme at the rate of 18% p.a simple interest for 5 years, then the interest received is Rs. 3600. If the total profit of the business is Rs. 4800 more than twice the profit of Preeti, then which of the following statement(s) is/are true?

I. Sum of the Investment of Aman and Preeti is equal to the investment of Shristi

II. Value of X is a multiple of 18

III. Aman gets 18.75% of the total profit

This questions was previously asked in

IBPS PO Mains (26th November 2022)

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Only II and III

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Explanation:

- First, calculate Preeti's profit. The interest from the scheme is Rs. 3600, so Preeti's profit is Rs. 4000. (3600 = 4000 x 18/100 x 5)

- The total profit is Rs. 4800 more than twice Preeti's profit, so total profit = 2 * 4000 + 4800 = Rs. 12800.

- The profit ratio depends on the initial investment ratios: Aman = (X - 1200), Preeti = X, Shristi = (X + 1800).

- For statement I: Aman's + Preeti's investment = 2X - 1200, Shristi's investment = X + 1800. So, they sum to 3X - 1200 = X + 1800, i.e., 2X = 3000, so X = 1500.

- For statement II: X = 1500 which is a multiple of 18.

- For statement III: Aman's profit ratio = (X - 1200) = 300/1600 of total, which is 18.75% (if total = 12800).

- So, all three statements are true.

Correct Answer: Option 5, All I, II, and III.

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