Q.


The coach of a cricket team buys 7 bats and 6 balls for ₹ 3800. Later, she buys 3 bats and 5 balls for ₹ 1750. The cost of each bat and each ball are.

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a

₹500, ₹50

b

₹400, ₹49

c

₹400, ₹20

d

₹200, ₹34 

answer is A.

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Detailed Solution

Given the coach of a cricket team buys 7 bats and 6 balls for ₹ 3800. Later, she buys 3 bats and 5 balls for ₹ 1750.
Number of bats = x
Number of balls = y
According to the question,
7x+6y=3800        ----- 1
Also,
3x+5y=1750     ----- 2
Now, value of y is,
From equation 1,
6y=3800-7x
y= 38007x 6  
Putting in equation 2,
3x+5y=1750  
3x+5 38007x 6 =1750  
18x+1900035x=1750×6  
17x=1050019000  
x= 8500 17  
x = 500
For y,
7x+6y=3800  
7×500+6y=3800  
6y=38003500  
6y=300  
y = 50
The cost of bat is ₹ 500 and cost of each ball is ₹ 50.
Hence, option 1 is correct.
  
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