Convert each of the following pairs into percentages and find out which is more?
(i) 25 marks out of 30, 35 marks out of 40.
(ii) 100 runs scored off 110 balls, 50 runs scored off 55 balls.
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Solution
(i) 25 marks out of 30
⇒ (25/30) × 100 = 2500/30 = 83.33%
35 marks out of 40
⇒ (35/40) × 100 = 3500/40 = 87.5%
87.5% is greater than 83.33%.
(ii) 100 runs scored off 110 balls
⇒ (100/110) × 100 = 10000/110 = 90.90%
50 runs scored off 55 balls
⇒ (50/55) × 100 = 5000/55 = 90.90%
Both percentages are equal.