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

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The cost of each bat is Rs.800 and the cost of each ball is Rs.80

The cost of each bat is Rs.750 and the cost of each ball is Rs.120

The cost of each bat is Rs.600 and the cost of each ball is Rs.150

The cost of each bat is Rs.500 and the cost of each ball is Rs.50

answer is D.

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Detailed Solution

Let cost of each bat = Rs x
Cost of each ball = Rs. y
According to the question
Price of 7 bat and 6 balls = Rs. 3800

7 x + 6 y = 3800

6y = 3800 – 7x
Divide by 6, we get
y= (3800 – 7x)/6………………… (1)
Price of 3 bat and 5 balls =Rs 1750

3 x + 5 y = 1750

Put the value of y from equation (1),

3 x

+ ((3800- 7x)/6) = 1750
Multiply by 6 we get,
18x+19000-35x = 10500
-17x=-8500

x = - \frac{8500}{- 17}

x = 500

Put the value in equation (1)
y= (3800 – 7

\times

500)/6
y= 300/6
y= 50
Thus, the cost of each bag = Rs 500 and cost of each balls = Rs. 50
Correct option is 4.

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