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?
a) 95
b) 85
c) 65
d) 105

• Given that ratio of Ramesh’s runs to Suresh’s runs = 5:7
  
  Ratio of Suresh’s runs to Ganesh’s runs = 5:7
  
  Let Ramesh’s runs in the tournament = 5a
  
  Suresh’s runs = 7a
  
  Let Ganesh’s runs = q
  
  Given ratio of Suresh’s runs to Ganesh’s runs = 5:7
  
  ⇒ 7a/q = 5:7
  
  ⇒ q = 49a/5
  
  Total runs scored by three players = 327
  
  ⇒ 5a + 7a + (49a/5) = 327
  
  ⇒ 12a + (49a)/5 = 327
  
  ⇒ 109a/5 = 327
  
  ⇒ a = 15
  ∴ Suresh’s score = 7a = 7 × 15 = 105
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