Question
If x runs are second by Rohit, y runs by Shreyas and z
runs by Virat, then x : y = y : z = 7:4. If total number of runs scored by Rohit, Shreyas and Virat is 744, the find the number of runs scored by Shreyas?Solution
⇒ x : y = 7:4 = 49 : 28 ⇒ y : z = 7 : 4 = 28 : 16 ⇒ x : y : z = 49 : 28 : 16 Since total runs scored by Rohit, Shreyas and Virat = 744 ⇒ 49a + 28a + 16a = 744 ⇒ 93a = 744 ⇒ a = 744/93 = 8 Hence, Runs scored by Shreyas = 28 × 8 = 224
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