Question:

Total salary of three persons A, B and C is Rs. 144000. They spend 80%, 85% and 75% respectively. If their savings are in the ratio 8:9:20, find C's salary.

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Express savings in terms of salary and a common multiplier to convert a ratio into absolute salaries.
Updated On: Aug 12, 2025
  • 48000
  • 64000
  • 40000
  • 32000
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The Correct Option is B

Solution and Explanation

Let salaries be A, B, C. Their savings are: A saves 20% ⇒ 0.20A, B saves 15% ⇒ 0.15B, C saves 25% ⇒ 0.25C.
Given 0.20A : 0.15B : 0.25C = 8 : 9 : 20. Let common multiplier = k. Then:
\hspace{1em}0.20A = 8k ⇒ A = 40k.
\hspace{1em}0.15B = 9k ⇒ B = 60k.
\hspace{1em}0.25C = 20k ⇒ C = 80k.
Sum A + B + C = 40k + 60k + 80k = 180k = 144000 ⇒ k = 800.
Step 4: C = 80k = 80 × 800 = 64,000.
Hence C's salary = Rs. 64,000.
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