After a fisherman sold 1/4 of the fish he had

Expert replies

Previous Topic Next Topic

NandishSS: Master | Next Rank: 500 Posts; Posts: 366; Joined: Fri Jun 05, 2015 3:35 amFollowed by: 2 members; Thanked: 3 times

by NandishSS » Fri Jul 19, 2019 5:42 am

Timer

00:00

Answers

Stats

Difficulty—

After a fisherman sold 1/4 of the fish he had caught and gave away 2/3 of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?

(A) 8
(B) 16
(C) 20
(D) 32
(E) 40

OA: B

Like this post

Source: Beat The GMAT — Problem Solving | Fri Jul 19, 2019 5:42 am

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Fri Jul 19, 2019 10:18 am

Let the number of fishes caught $= x$

Number of fishes sold $= \frac{1}{4}x$

Number of fishes UNsold $= xâˆ’\frac{1}{4}x=\frac{3}{4}x$

Gave away $\frac{2}{3}$ of the remaining fish $=\frac{2}{3}\cdot \frac{3}{4}x = \frac{1}{2}x$

After all the above he had 4 fish left. Therefore, __B__ is the correct option.

Like this post

Darkknightreturning: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Jul 01, 2019 8:40 am

by Darkknightreturning » Sat Jul 20, 2019 11:30 pm

Let the No. of fishes be X
After selling 1/4x fishes, fishes left = 3/4x.
He gave away 2/3rd of fishes left. Thus, he now has 1/3rd of fishes left = 1/3 * 3/4x = 1/4x
This 1/4x is equal to 4. Thus, x = 16
Answer is B

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8177; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Jul 30, 2019 8:44 am

NandishSS wrote:After a fisherman sold 1/4 of the fish he had caught and gave away 2/3 of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?

(A) 8
(B) 16
(C) 20
(D) 32
(E) 40

OA: B

We can let n = the number of fish the fisherman caught and create the equation:

n - (1/4)n - (2/3)(3/4)n = 4

n - (1/4)n - (1/2)n = 4

Multiplying the equation by 4, we have:

4n - n - 2n = 16

n = 16

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review