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Arjun, Bharath and Chandru played a cricket match. The ratio of runs scored by Arjun and Bharath is 1 : 2 and the ratio of runs scored by Bharath and Chandru is 3 : 4. If together they score 204 runs, how many runs has Chandru made more than Arjun?

Arjun, Bharath and Chandru played a cricket match. The ratio of runs scored by Arjun and Bharath is 1 : 2 and the ratio of runs scored by Bharath and Chandru is 3 : 4. If together they score 204 runs, how many runs has Chandru made more than Arjun? Correct Answer 60 runs

According to the given information,

Ratio of runs scored by Arjun and Bharath is 1 : 2

Ratio of runs scored by Bharath and Chandru is 3 : 4

Arjun: Bharath = (1: 2) × 3

Bharath: Chandru = (3: 4) × 2

Ration of runs scored by Arjun, Bharath and Chandru is 3: 6 :8

Let the runs scored be 3x, 6x and 8x

Total runs = 204

3x + 6x + 8x = 204

17x = 204

x = 12

Runs scored by Chandru = 8x = 96

Runs scored by Arjun = 3x = 36

Difference = 60

Chandru scored 60 runs more than Arjun.

Hence, “60” is the correct answer.

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