Exams › IBPS PO › Quantitative Aptitude
X, Y, and Z started a business with investments of Rs. $(a-1200)$, Rs. $a$, and Rs. $(a+1800)$ respectively. The profit of Y is invested in a scheme that offers simple interest at the rate of 18% p.a. for five years, and the interest received is Rs. 3600. If the total profit in the business is Rs. 4800 more than twice the profit of Y, then which of the following statements is/are correct? (A) The value of $a$ is a multiple of 12. (B) Z gets 37.5% of the total profit. (C) The sum of the investments of X and Y is completely divisible by 8. A) None of these B) Only (C) C) Both (C) & (B) D) Only (B)
- None of these
- Only (C)
- Both (C) & (B)
- Only (B)
Correct answer: Only (B)
Solution
Y’s profit is the interest from the scheme: $3600 = \frac{P\times 18\times 5}{100}$, so $P=4000$. The total profit is Rs. 4800 more than twice Y’s profit, so total profit = Rs. 12800. Since profits are shared in the ratio $(a-1200):a:(a+1800)$, Z’s share comes out to 37.5% of the total profit, while the other statements are false.
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