Machine-translated by Google. Questions are authored in English.
Top

Discussion

Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.

Mutual fund AMutual fund BMutual fund C
Person 1₹10,000₹20,000₹20,000
Person 2₹20,000₹15,000₹15,000

At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?

  • A.7.5%
  • B.10%
  • C.15%
  • D.20%

Answer: B

Mutual fund A returned 10%.

Let A's rate be r. Each person's total after a year:

\[ \begin{aligned} P_{1} &= 10000(1 + r) + 40000(1.15) = 56000 + 10000r \\ P_{2} &= 20000(1 + r) + 30000(1.15) = 54500 + 20000r \\ P_{1} - P_{2} &= 1500 - 10000r = 500 \Rightarrow r = 0.10 \end{aligned} \]

Check: Person 1 gets 57,000 and Person 2 gets 56,500, a difference of 500. A rate of 15% would give a difference of zero, and 7.5% or 20% give 750 and -500.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.