percentage and interest

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pm; Followed by:6 members

percentage and interest

by BTGmoderatorRO » Sat Sep 30, 2017 7:21 pm

If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0
(B) 20
(C) 50
(D) 100
(E) 200
QA is d.

Seem C is the correct option but please show your working on how to arrive at the correct answer.

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Source: Beat The GMAT — Problem Solving | Sat Sep 30, 2017 7:21 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sun Oct 01, 2017 12:03 pm

Roland2rule wrote:If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0
(B) 20
(C) 50
(D) 100
(E) 200

GIVEN: x is 150% greater than 200
150% of 200 = 300
So, x = 200 + 300 = 500

QUESTION: x is what percent greater than 50% of 500?
In other words, 500 is what percent greater than 250 (since 50% of 500 = 250)?
This is the same as asking "What is the PERCENT CHANGE from 250 to 500?"

PERCENT CHANGE = 100(new-old)/odd
= 100(500 - 250)/250
= 100(250)/250
= 100
So, 500 is 100% greater than 250
Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pm; Thanked: 180 times; Followed by:12 members

by EconomistGMATTutor » Sun Oct 08, 2017 9:52 am

Roland2rule wrote:If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0
(B) 20
(C) 50
(D) 100
(E) 200
QA is d.

Seem C is the correct option but please show your working on how to arrive at the correct answer.

Hi Roland2rule,
Let's take a look at your question.

The question states,
"x is 150% greater than 200."
x = 200 + (200)(150/100)
x = 200 + 300 = 500

x is what percent greater than 50% of 500?
50% of 500 = (50/100)(500) = 250

Percent Change = [(New Value - Old Value)/Old Value] x 100%
Percent Change =[ (500 - 250)/250] x 100%
Percent Change = (250/250) x 100%
Percent Change = (1) x 100%
Percent Change = 100%

Therefore, Option D is correct.

I am available if you'd like any followup.

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