A bowler gives 16.2 runs per wicket. He gives 32 runs and takes 8 wickets in a last match after which his average becomes 15.4 runs per wicket. How many wickets had been taken by him before the last match?

Bowling average = (total runs conceded)/(total wicket taken ) Let the total number of wickets be x Then, bowling average = 16.2 Runs conceded = 16.2 x Now, (16.2 x + 32)/(x + 8)= 15.4 16.2 x + 32 = 15.4 (x + 8) 16.2 x + 32 = 15.4 x + 123.2 0.8 x = 123.2 - 32 x = 91.2/0.8 = 114 Alternate method: Using Allegation method, Average rate before last match Average in last match 16.2 32/8 = 4 Net Average = 15.4 Number of wickets before last match wickets in last match 11.4 : 0.8 114 : 8 Hence number of wickets before last match = 114

- The average number of books sold by Viren in first 4 months is 3600 and in first 5 months is 4200. If the number of books sold by him in 6
^{th}month is 35% less than that in 5^{th}month, then find the total number of books sold in the sixth month. - A candidate just passed by getting 60 answers correct by attempting 132 of the total questions. Find the total number of questions in the examination if a candidate needs 40% marks. (All questions carry equal marks)
- In an Aerobic class, the average age of all the members was 54.5 years, 11 members left the class and 7 new members joined. If the average age increased by 3 years and the total age decreased by 140, what was the number of members in the class initially?
- The average age of a class of 22 girls is 18 years. If 2 new girls having average age of 12 years join the class, then the average age of the class becomes:
- Average weight of 5 students in a class increases by 4 kg when weight of teacher is also included. If sum of average weight of 5 students and weight of teacher is 104 kg. Find the weight of teacher?
- A and B started a business investing Rs. 1500 for ‘x’ months and Rs. 1800 for 10 months, respectively. Out of total profit of Rs. 5000, profit share of B is Rs. 3000. Find the value of x.
- The average age of A, B & C is 48 years. Ratio of present ages of A to C is 3:5 and present age of B is 33.33% more than that of A. find the difference between age of A after 5 years to age of B 2 years ago.
- Average 20 numbers is ‘x’. If the average of first 12 numbers is 64.5 while average of last 5 numbers is 84.8 and 13
^{th}, 14^{th}and 15^{th}numbers are (3x - 49), (x + 52) and 183 respectively. Find the 14^{th}number. - When the average age of a husband and wife and their son was 44 years, the son got married and a child was born just one year after their marriage. When child turned to be 7 years, then the average age of the family become 38 years. What was the age of daughter-in-law at the time of marriage?
- Average 20 numbers is ‘x’. If the average of first 12 numbers is 72.5 while average of last 5 numbers is 86.8 and 13
^{th}, 14^{th}and 15^{th}numbers are (3x - 48), (x + 54) and 186 respectively. Find the 14^{th}number.

More Average Questions

×