Question

The total salary drawn by 3 watchmen, A, B and C is Rs. 1720. They spend 70%, 60% and 50% respectively from their salaries. If the balance with them are into Ratio 1:2:3, what is the salary of each?

• A. A Rs. 300; B Rs. 500; C- Rs. 700
• B. A Rs. 200; B Rs. 300; C- Rs. 650
• C. A Rs. 100; B Rs. 300; C- Rs. 600
• D. A Rs. 400; B Rs. 600; C- Rs. 720

Answer 1

The correct option is D A Rs. 400; B Rs. 600; C- Rs. 720

Given

Total salary of A,B,C = Rs. 1720

They spent = 70%, 60%, 50%

Balance = 1:2:3

Let A saving = 100 - 70 = 30%

B = saving = 100 - 60 = 40%

C = saving = 100 - 50 = 50%

Balance of A = x

Balance of B = 2x

Balance of C = 3x

Now A salary $=x\ast \frac{100}{30}=\frac{10x}{3}$

B salary $=2x\ast \frac{100}{40}=5x$

C salary $=3x\ast \frac{100}{50}=6x$

$\therefore$ Total salary = 1720

$\frac{10x}{3}+5x+6x=1720$

$10x+15x+18x=5160$

$43x=5160$

$x=120$

$\therefore$ A salary $=\frac{10x}{3}=\frac{10\ast 120}{3}=400$

B salary $=5x=5\ast 120=600$

C salary $=6x=6\ast 120=720$