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Question

The salaries of A, B and C together amount to Rs. 333, and they spend 80%, 85% and 75% of their respective salaries. If their savings are in the ratio 7 : 6 : 9, then their respective salaries in rupees are

A
102, 118, and 113
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B
105,120, and 108
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C
85, 125, and 123
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D
100, 200, and 115
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Solution

The correct option is B 105,120, and 108
Let salaries of A, B, and C be Rs. x, y, and z respectively.
Together, their amount x+y+z=333.
Now,
Expenditure of A=80%
Savings =20%
Expenditure of B=85%
Savings =15%
Expenditure of C=75%
Savings =25%

Savings of A=20x100, B=15y100, and C=25z100
Also, given savings are in the ratio 7:6:9
20x700=15y600=25z900
20x7=15y6=25z9

Now, 20x7=15y68x=7y=x=7y8
And 15y6=25z99y10=z

Given, x+y+z=333
78y+y+910y=333
222y=333×80
y=120
x=78(120)=105,z=910(120)=108
Hence, salary of A=Rs. 105, B=Rs. 120, and C=Rs. 108.

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