Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The average of runs scored by a cricketer in 9 innings is 41. If after 10th innings his average increases by 4 runs per innings, then how many runs did he score in the 10th innings? Quantity B: 73 runs Correct Answer Quantity A > Quantity B GIVEN: Average in 9 innings = 41 runs Increase in average = 4 runs FORMULA USED: Average = Sum of observations/Total number of observations CALCULATION: Total runs in 9 innings = 41 × 9 = 369 runs Average after 10 innings = 41 + 4 = 45 Total runs in 10 innings = 45 × 10 = 450 runs Runs in 10th innings = 450 - 369 = 81 ∴ Quantity A > Quantity B Runs in next innings = New average + (Number of innings × increase in average) ∴ Runs in 10th innings = 45 + (9 × 4) ⇒ 45 + 36 = 81 runs ∴ Quantity A > Quantity B