Aravamudhan, Balakrishnan and Chinnan work in a developing software company in…

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Aravamudhan, Balakrishnan and Chinnan work in a developing software company in starting level positions. However their salaries are different. Aravamudhan’s salary to Balakrishnan’s salary and Balakrishnan’s salary to Chinnan’s salary both are in the ratio 4:3. If the total salary of all the three employees is Rs.29230, what is the salary of Chinnan?

  1. A.

    Rs.12640

  2. B.

    Rs.9480

  3. C.

    Rs.7110

  4. D.

    Rs.8660

Attempted by 65 students.

Show answer & explanation

Correct answer: C

Answer: Rs. 7110

Key idea: express all salaries in terms of one variable using the given ratios and solve for that variable.

  1. Let Aravamudhan = 4x and Balakrishnan = 3x (from Aravamudhan:Balakrishnan = 4:3).

  2. From Balakrishnan:Chinnan = 4:3 we have 3x : C = 4 : 3, so Chinnan = 9x/4.

  3. Total salary = 4x + 3x + 9x/4 = 37x/4, and this equals 29230. So 37x/4 = 29230 ⇒ x = (4×29230)/37 = 3160.

  4. Chinnan = 9x/4 = 9×3160/4 = 7110.

Check: 4×3160 + 3×3160 + 7110 = 12640 + 9480 + 7110 = 29230, so the result is consistent.

Therefore Chinnan’s salary = Rs. 7110.

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