The Cricket Set Cost Problem is as follows :
Question: The coach of a cricket team buys 3 bats and 9 balls for Rs 3900.
Later, he buys another bat and 2 more balls of the same kind for Rs 1200.
Find the price of a bat and a ball?
Solved Aptitude Problems
Answer: Let the price of a bat be Rs x and that of a ball be Rs y.
It is given that 3 bats and 9 balls are bought for Rs 3900.
So, 3x+9y=3900 ………………… (1)
and it is given that one bat and 2 balls of the same kind cost Rs 1200.
That is, x+2y=1200 …………….. (2)
=> x=1200-2y …………………….(3)
putting this value in equation (1), we get
3(1200-2y) +9y=3900
=> 3600-6y+9y=3900
=> 9y-6y=3900-3600
=> 3y= 300
=> y=300/3
=> y=100
Hence Ball = 100 Rs
Putting the value of y in equation (3)
x=1200-2y
x=1200-2*100
x=1200-200
x=1000
Hence Bat = 1000 Rs.
So, the cost of the Bat is Rs.1000 and the Ball is Rs.100 