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27 Mar 2020, 03:34
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
68% (03:01) correct
32%
(03:12)
wrong
based on 168
sessions
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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
Are You Up For the Challenge: 700 Level Questions
A. 80
B. 150
C. 180
D. 210
E. 220
Are You Up For the Challenge: 700 Level Questions
27 Mar 2020, 03:48
Kudos
Bookmarks
Bunuel
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
27 Mar 2020, 04:27
Kudos
Bookmarks
Bunuel
Solution:
- • Let A, B, and C be the salary of A, B, and C, respectively.
- o \(A + B + C = 350\)
• B’s saving = \(B – \frac{80}{100}*B = \frac{20}{100}*B\)
• C’s saving = \(C – \frac{56}{100}*C = \frac{44}{100}*C\)
- • \(\frac{25A}{20B} = \frac{10}{12}\)
- o \(\frac{A}{B} =\frac{2}{3}\)
o \(A: B = 2: 3\)…(i)
- o \(B:C= 4:5\)…(ii)
- • \(A: B: C = 8: 12: 15\)
- • \(8x+12x+15x = 350\)
• \(35x = 350\)
• \(x =10\)
- o C’s salary = \(15*10 = 150\)
