Multiple choice

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?

  1. A Rs. 300; B Rs. 500; C- Rs. 700

  2. A Rs. 200; B Rs. 300; C- Rs. 650

  3. A Rs. 100; B Rs. 300; C- Rs. 600

  4. A Rs. 400; B Rs. 600; C- Rs. 720
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let salaries be S_A, S_B, S_C. Savings are 0.3S_A, 0.4S_B, 0.5S_C. Ratio 0.3S_A : 0.4S_B : 0.5S_C = 1:2:3. 0.3S_A = k, 0.4S_B = 2k, 0.5S_C = 3k. S_A = 10k/3, S_B = 5k, S_C = 6k. Sum = (10/3 + 5 + 6)k = 1720. (43/3)k = 1720. k = 120. S_A = 400, S_B = 600, S_C = 720.

AI explanation

Let the salaries of A, B, and C be such that their remaining balances are 1y, 2y, and 3y. Since they spend 70%, 60%, and 50% of their salaries, their savings are 30%, 40%, and 50%, leading to the equations 0.30A = y, 0.40B = 2y, and 0.50C = 3y. Solving these yields A = 10y/3, B = 5y, and C = 6y. Using the total salary equation 10y/3 + 5y + 6y = 1720 gives 43y/3 = 1720, so y = 120; substituting y back gives the salaries as A = Rs. 400, B = Rs. 600, and C = Rs. 720.

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