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07 Nov 2019, 10:16
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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
08 Nov 2019, 03:14
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thesaifeye
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
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
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
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
