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# Total salary of A, B and C is $350. If they spend 75%, 80% and 56% of SORT BY: Tags: Show Tags Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 93334 Own Kudos [?]: 624559 [9] Given Kudos: 81898 VP Joined: 20 Jul 2017 Posts: 1299 Own Kudos [?]: 3479 [4] Given Kudos: 162 Location: India Concentration: Entrepreneurship, Marketing GMAT 1: 690 Q51 V30 WE:Education (Education) GMATWhiz Representative Joined: 07 May 2019 Posts: 3411 Own Kudos [?]: 1809 [3] Given Kudos: 68 Location: India GMAT 1: 740 Q50 V41 GMAT 2: 760 Q51 V40 Retired Moderator Joined: 18 May 2019 Posts: 785 Own Kudos [?]: 1043 [1] Given Kudos: 101 Re: Total salary of A, B and C is$350. If they spend 75%, 80% and 56% of [#permalink]
1
Kudos
Alternatively,

We are given that if A, B, and C spend 75%, 80%, and 56% of their salaries respectively, then their savings are in the ration 10:12:33 respectively for A, B, and C.

Focusing on C alone, after spending 56%, his savings is 44%
but the savings of A, B, and C in the ratio 10:12:33, means that their actual savings in monetary terms are 10k, 12k, and 33k respectively, where k is a positive integer.
so C's savings is 33k.
Now 44% of C=33k
Hence 44C/100=33k
11C/25 = 33k
C=25*3k = 75k

Look through the answer choices and choose the option that is a multiple 75, and luckily, only B, 150, is a multiple of 75.

The answer is B.
Senior Manager
Joined: 05 Aug 2019
Posts: 317
Own Kudos [?]: 280 [0]
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Location: India
Concentration: Leadership, Technology
GMAT 1: 600 Q50 V22
GMAT 2: 670 Q50 V28 (Online)
GPA: 4
Re: Total salary of A, B and C is $350. If they spend 75%, 80% and 56% of [#permalink] Let salaries are in ratio=> a:b:c, Total is 350 They are spending 75%, 80%, 56% respectively. Then savings: 0.25a:0.2b:0.44c = 10:12:33 25a:20b:44c = 10:12:33 25a = 10=> a = 2/5 20b = 12 => b = 3/5 44c = 33 => c = 3/4 (2/5+3/5+3/4)x = 350 7x/4 = 350 x = 200 C = 3/4 x = 150 B Attachments 1.PNG [ 38.93 KiB | Viewed 24163 times ] Non-Human User Joined: 09 Sep 2013 Posts: 33057 Own Kudos [?]: 828 [0] Given Kudos: 0 Re: Total salary of A, B and C is$350. If they spend 75%, 80% and 56% of [#permalink]
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Re: Total salary of A, B and C is \$350. If they spend 75%, 80% and 56% of [#permalink]
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