ACT Practice Paper1 Solution3

In this page ACT practice paper1 solution3 we are going to see solution of some practice questions.

Question 9:

In a cricket team of 11 players,the average age of 4 players is 17,the average of 3 players is 18 and the average of 2 players is 19. The average age of the whole team is 18. One of the players is aged 22. Find the age of the last player.

Solution:

Average of 11 players = 18 years

Total age of 11 players = 18 x 11

                                  = 198

Average of 4 players = 17 years

Total age of 4 players = 4 x 17

                               = 68

Average of 3 players = 18 years

Total age of 3 players = 3 x 18

                               = 54

Average of 2 players = 19 years

Total age of 2 players = 2 x 19

                               = 38

Age of another player = 22 years

 Total age of 10 players = 68 + 54 + 38 + 22

                                   = 182 years

Age of last player = 198 - 182

                          = 16 years

Therefore the required age = 16 years.


Question 10:

A fruit merchant bought 1200 mangoes for $1000.300 fruits went bad. He sold fruits at $ 18 per dozen, and the bad fruits at $ 9 per dozen. Find his total gain or loss per cent in the transaction.

Cost price of the mangoes = $ 1000

Number of good fruits = 900

Number of dozens of good fruit = 900/12

                                          = 75 dozens

Selling price of 1 dozen = $ 18

Selling price of 75 dozens = 75 x 18

                                   = 1350

Number of bad fruits = 300

Number of dozens of bad fruits = 300/12

                                          = 25 

Selling price of 1 dozen bad fruit = $9

Selling price of 25 dozens of bad fruits = 9 x 25

                                                    = $ 225

Total selling price = 1350 + 225

                        = $ 1575

Profit = Selling price - Cost price 

        = 1575 - 1000

       = $ 575

Profit percent = (profit amount/cost price)   x 100

                   = (575/1000) x 100

                   = 57.5 %

ACT practice paper1 solution3 ACT practice paper1 solution3