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## Java invests in a new mutual fund. The fund averages 10%...

tagged by: swerve

# This topic has 2 expert replies and 1 member reply

### Top Member

#### Java invests in a new mutual fund. The fund averages 10%...

Java invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Java originally paid?

A. 93%
B. 90%
C. 88%
D. 85%
E. 80%

The OA is A.

I can take an amount for initial investment, for example 100, then of the first three years I get 100*1.10^3 = 133 approximately.

Then in the fourth year loses 30%, then 133*0.7 = 93 option A.

Experts, it is correct my solution? I'm not completely sure. Thanks.

### Top Member

Master | Next Rank: 500 Posts
Joined
15 Oct 2009
Posted:
308 messages
Upvotes:
27
swerve wrote:
Java invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Java originally paid?

A. 93%
B. 90%
C. 88%
D. 85%
E. 80%

The OA is A.

I can take an amount for initial investment, for example 100, then of the first three years I get 100*1.10^3 = 133 approximately.

Then in the fourth year loses 30%, then 133*0.7 = 93 option A.

Yes, your approach is correct

Experts, it is correct my solution? I'm not completely sure. Thanks.

### GMAT/MBA Expert

GMAT Instructor
Joined
04 Oct 2017
Posted:
551 messages
Followed by:
11 members
Upvotes:
180
swerve wrote:
Java invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Java originally paid?

A. 93%
B. 90%
C. 88%
D. 85%
E. 80%

The OA is A.

I can take an amount for initial investment, for example 100, then of the first three years I get 100*1.10^3 = 133 approximately.

Then in the fourth year loses 30%, then 133*0.7 = 93 option A.

Experts, it is correct my solution? I'm not completely sure. Thanks.
Hi swerve,

You used the correct approach.

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### GMAT/MBA Expert

GMAT Instructor
Joined
09 Apr 2015
Posted:
1461 messages
Followed by:
16 members
Upvotes:
39
swerve wrote:
Java invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Java originally paid?

A. 93%
B. 90%
C. 88%
D. 85%
E. 80%
We can let the original value of the fund = n.

So after 4 years it’s worth:

n x 1.1 x 1.1 x 1.1 x 0.7 = 0.9317n, which is about 93%.

Answer: A

_________________
Jeffrey Miller Head of GMAT Instruction

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