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07 Nov 2019, 10:16
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B
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Difficulty:
15%
(low)
Question Stats:
81% (01:22) correct
19%
(01:32)
wrong
based on 63
sessions
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Salaries of Moon and Shanto are in the ratio of 4:5. If the salary of each is increased by $5000, the new ratio becomes 50:60. What is Shanto's present salary?
A) 20,000
B) 25,000
C) 30,000
D) 35,000
E) 40,000
A) 20,000
B) 25,000
C) 30,000
D) 35,000
E) 40,000
Archit3110
Major Poster
08 Nov 2019, 03:14
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thesaifeye
given
x/y= 4/5
x=4y/5
and
x+5000/y+5000 = 5/6
solve for y = 25000
IMO B
08 Nov 2019, 04:45
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thesaifeye
Let the salaries of Moon & Shanto be m & s respectively
--> m : s = 4 : 5
--> m = 4k & s = 5k for some positive number k
If the salary of each is increased by $5000, the new ratio becomes 50:60
--> \(\frac{(4k + 5000)}{(5k + 5000)} = \frac{50}{60} = \frac{5}{6}\)
--> 6(4k + 5000) = 5(5k + 5000)
--> 24k + 30,000 = 25k + 25,000
--> k = $5,000
Shanto's present salary = 5k = 5*5,000 = $25,000
IMO Option B
