A,B and C who together earn Rs.7600,spend 70%, 75% and 80% of the salaries respectively.if their savings are as 4:5:6 respectively, find the salary of B ?
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Let Salary of A = A
Salary of B = B
Salary of C = C
Thus According to question
A + B + C = 7600 Rs Eqn 1
Savings are in ratio 4:5:6
Thus Savings by A = 4x
B = 5x
and C = 6x
Let money spent by A be a
thus A = a + 4x
A = 0.7A + 4x
0.3A = 4x
and
B = b + 5x
0.25 B = 5x
C = c + 6x
0.2 C = 6x
Adding above we get
A + B + C = 4/0.3 x + 5/0.25 x + 6/0.2 x
7600 = (13.33 + 20 + 30 ) x
Thus x = 120
Thus
B = 5 * 120 / 0.25
= 2400 Rs
Salary of B = B
Salary of C = C
Thus According to question
A + B + C = 7600 Rs Eqn 1
Savings are in ratio 4:5:6
Thus Savings by A = 4x
B = 5x
and C = 6x
Let money spent by A be a
thus A = a + 4x
A = 0.7A + 4x
0.3A = 4x
and
B = b + 5x
0.25 B = 5x
C = c + 6x
0.2 C = 6x
Adding above we get
A + B + C = 4/0.3 x + 5/0.25 x + 6/0.2 x
7600 = (13.33 + 20 + 30 ) x
Thus x = 120
Thus
B = 5 * 120 / 0.25
= 2400 Rs
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