Three cricket players -- Ramesh, Suresh and Ganesh play for three different…

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Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams – Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal,Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh’s fore-fathers were from Madurai but settled in Rajasthan. All the three participated in a cricket tournament. Ramesh’s runs to Suresh’s runs and Suresh’s runs to Ganesh’s runs are in the ratio 5:7. If the total runs scored by all the three players in the tournament is 327, find the total runs scored by Suresh in the tournament?

  1. A.

    95

  2. B.

    85

  3. C.

    65

  4. D.

    105

Attempted by 16 students.

Show answer & explanation

Correct answer: D

Solution: Find Suresh's total runs.

  1. Let Ramesh = 5a and Suresh = 7a because Ramesh : Suresh = 5 : 7.

  2. From Suresh : Ganesh = 5 : 7, we have 7a : Ganesh = 5 : 7, so Ganesh = 49a/5.

  3. Total runs: 5a + 7a + 49a/5 = 327. Combine terms: (25a + 35a + 49a)/5 = 109a/5 = 327.

  4. Solve for a: a = 327 × 5 / 109 = 15.

  5. Suresh's runs = 7a = 7 × 15 = 105.

Answer: 105

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