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Total salary of A, B and C is $350. If they spend 75%, 80% and 56% of their salaries respectively, then their savings are in the ratio of 10:12:33. What is the C's salary? A. 80 B. 150 C. 180 D. 210 E. 220 Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level Questions _________________ SVP  V Joined: 20 Jul 2017 Posts: 1504 Location: India Concentration: Entrepreneurship, Marketing WE: Education (Education) Re: Total salary of A, B and C is$350. If they spend 75%, 80% and 56% of  [#permalink]

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Bunuel wrote:
Total salary of A, B and C is $350. If they spend 75%, 80% and 56% of their salaries respectively, then their savings are in the ratio of 10:12:33. What is the C's salary? A. 80 B. 150 C. 180 D. 210 E. 220 Let the salaries of A, B & C be$a, $b &$c respectively
--> a + b + c = 350 ....... (1)

If they spend 75%, 80% and 56% of their salaries respectively, then their savings are in the ratio of 10:12:33
--> 0.25a : 0.20b : 0.44c = 10 : 12 : 33
--> 0.25a = 10k; 0.2b = 12k; 0.44c = 33k; for some positive value 'k'
--> (a, b, c) = (40k, 60k, 75k)

From (1), 40k + 60k + 75k = 350
--> 175k = 350
--> k = 2

Salary of C = 75*k = 75*2 = $150 Option B GMATWhiz Representative G Joined: 07 May 2019 Posts: 822 Location: India Re: Total salary of A, B and C is$350. If they spend 75%, 80% and 56% of  [#permalink]

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Bunuel wrote:
Total salary of A, B and C is $350. If they spend 75%, 80% and 56% of their salaries respectively, then their savings are in the ratio of 10:12:33. What is the C's salary? A. 80 B. 150 C. 180 D. 210 E. 220 Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS Are You Up For the Challenge: 700 Level Questions Solution: • Let A, B, and C be the salary of A, B, and C, respectively. o $$A + B + C = 350$$ • A’s saving =$$A – \frac{75}{100}*A$$ = $$\frac{25}{100}*A$$ • B’s saving = $$B – \frac{80}{100}*B = \frac{20}{100}*B$$ • C’s saving = $$C – \frac{56}{100}*C = \frac{44}{100}*C$$ The ratio of savings is given to be 10: 12: 33 • $$\frac{25A}{20B} = \frac{10}{12}$$ o $$\frac{A}{B} =\frac{2}{3}$$ o $$A: B = 2: 3$$…(i) • $$\frac{20B}{44C} =\frac{12}{33}$$ o $$B:C= 4:5$$…(ii) On multiplying equation (i) by 4 and equation (ii) by 3, we get • $$A: B: C = 8: 12: 15$$ Let 8x, 12x, and 15x be the salary of A, B, and C, respectively. • $$8x+12x+15x = 350$$ • $$35x = 350$$ • $$x =10$$ o C’s salary = $$15*10 = 150$$ Hence, the correct answer is Option B. _________________ GMAT Prep truly Personalized using Technology Prepare from an application driven course that serves real-time improvement modules along with a well-defined adaptive study plan. Start a free trial to experience it yourself and get access to 25 videos and 300 GMAT styled questions. Helpful Links Countdown to Round 1 - Free Webinar Series: Registration Link | Watch Recordings of Webinars Score Improvement Strategy: How to score Q50+ on GMAT | 5 steps to Improve your Verbal score Study Plan Articles: 3 mistakes to avoid while preparing | How to create a study plan? | The Right Order of Learning | Importance of Error Log Helpful Quant Strategies: Filling Spaces Method | Avoid Double Counting in P&C | The Art of Not Assuming anything in DS | Number Line Method Key Verbal Techniques: Plan-Goal Framework in CR | Quantifiers the tiny Game-changers | Countable vs Uncountable Nouns | Tackling Confusing Words in Main Point CR Forum Moderator D Joined: 18 May 2019 Posts: 811 Total salary of A, B and C is$350. If they spend 75%, 80% and 56% of  [#permalink]

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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.

Senior Manager  G
Joined: 05 Aug 2019
Posts: 301
Location: India
GMAT 1: 600 Q50 V22 GPA: 4

# Total salary of A, B and C is \$350. If they spend 75%, 80% and 56% of  