Kim has 40 percent more money than Sal and Sal has 20 percent

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

Kim has 40 percent more money than Sal and Sal has 20 percent

by BTGModeratorVI » Tue Mar 10, 2020 7:25 am

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Kim has 40 percent more money than Sal and Sal has 20 percent less money than Phil. If Sal and Phil have a combined total of $1.80, how much money does Kim have?

(A) $1.00
(B) $1.12
(C) $1.20
(D) $1.32
(E) $1.40

Answer: B
Source: GMAT Paper tests

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Source: Beat The GMAT — Problem Solving | Tue Mar 10, 2020 7:25 am

GMAT/MBA Expert

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

Re: Kim has 40 percent more money than Sal and Sal has 20 percent

by Jay@ManhattanReview » Tue Mar 10, 2020 11:36 pm

BTGModeratorVI wrote: ↑
Tue Mar 10, 2020 7:25 am
Kim has 40 percent more money than Sal and Sal has 20 percent less money than Phil. If Sal and Phil have a combined total of $1.80, how much money does Kim have?

(A) $1.00
(B) $1.12
(C) $1.20
(D) $1.32
(E) $1.40

Answer: B
Source: GMAT Paper tests

Say Sal has $x; thus, Kim has $1.4x and Phil has $x/80% = $x/0.80 = $1.25x

Thus, Sal and Phil have a combined total of = x + 1.25x = 2.25x = $1.80.

x = $0.8

So, Kim has $1.4x = 1.4*0.8 = $1.12

The correct answer: B

Hope this helps!

-Jay
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Manhattan Review

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GMAT/MBA Expert

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

Re: Kim has 40 percent more money than Sal and Sal has 20 percent

by Brent@GMATPrepNow » Wed Mar 11, 2020 6:08 am

BTGModeratorVI wrote: ↑
Tue Mar 10, 2020 7:25 am
Kim has 40 percent more money than Sal and Sal has 20 percent less money than Phil. If Sal and Phil have a combined total of $1.80, how much money does Kim have?

(A) $1.00
(B) $1.12
(C) $1.20
(D) $1.32
(E) $1.40

Answer: B
Source: GMAT Paper tests

Let x = Phil's money

Sal has 20 percent LESS money than Phil
So, Sal's money = (Phil's money) - (20% of Phil's money)
= x - (20% of x)
= x - 0.2x
= 0.8x

Kim has 40 percent more money than Sal
So, Kim's money = (Sal's money) + (40% of Sal's money)
= (0.8x) + (40% of 0.8x)
= (0.8x) + (0.4)(0.8x)
= 0.8x + 0.32x
= 1.12x

If Sal and Phil have a combined total of $1.80, how much money does Kim have?
We can write: 0.8x + x = 1.80
Simplify: 1.8x = 1.80
Solve: x = 1.80/1.8 = 1

We know that Kim's money = 1.12x
Since x = 1, we get: 1.12(1) = 1.12

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Kim has 40 percent more money than Sal and Sal has 20 percent

by Scott@TargetTestPrep » Thu Mar 12, 2020 6:27 am

BTGModeratorVI wrote: ↑
Tue Mar 10, 2020 7:25 am
Kim has 40 percent more money than Sal and Sal has 20 percent less money than Phil. If Sal and Phil have a combined total of $1.80, how much money does Kim have?

(A) $1.00
(B) $1.12
(C) $1.20
(D) $1.32
(E) $1.40

Answer: B
Source: GMAT Paper tests

Let x = the amount of money Phil has, so the amount of money Sal has is 0.8x. We can create the equation:

x + 0.8x = 1.80

1.8x = 1.8

x = 1

So Phil has $1 and Sal has $0.80. Since Kim has 40 percent more money than Sal, she has:

0.8 x 1.4 = $1.12

Answer: B

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