Question
If x runs are second by Rohit, y runs by Shreyas and z
runs by Virat, then x : y = y : z = 5:4. If total number of runs scored by Rohit, Shreyas and Virat is 732, the find the number of runs scored by Shreyas?Solution
⇒ x : y = 5 : 4 = 25 : 20 ⇒ y : z = 5 : 4 = 20 : 16 ⇒ x : y : z = 25 : 20 : 16 Since total runs scored by Rohit, Shreyas and Virat = 732 ⇒ 25a + 20a + 16a = 732 ⇒ 61a = 732 ⇒ a = 732/61 = 12 Hence, Runs scored by Shreyas = 20 × 12 = 240
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