Multiple choice

Three person's A, B and C whose salaries together are Rs. $14400$ and expenditures are $80\%$, $85\% $ and $75\%$ of their salaries respectively. If their savings are in the ratio $8:9:20$ , then find their respective salaires.

  1. Rs.$ 3000$, Rs. $5000,$ Rs$. 6400$
  2. Rs. $3400$, Rs. $4800$, Rs. $6200$
  3. Rs. $3200$, Rs. $4800,$  Rs. $6400$
  4. Rs. $3000$, Rs. $5200,$  Rs. $6200$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let salaries be S1, S2, S3. Savings are 20% of S1, 15% of S2, 25% of S3. Ratio 0.2S1 : 0.15S2 : 0.25S3 = 8 : 9 : 20. Solving this with S1 + S2 + S3 = 14400 gives S1 = 3200, S2 = 4800, S3 = 6400.

AI explanation

Since their savings are 20%, 15%, and 25% of their respective salaries, we can express their savings as 0.20A, 0.15B, and 0.25C. Setting these equal to the ratio parts 8x, 9x, and 20x gives the equations A = 40x, B = 60x, and C = 80x. Substituting these into the total salary 14400 yields 180x = 14400, so x equals 80; multiplying back gives the salaries as 3200, 4800, and 6400.

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