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प्रश्न
The coach of a cricket team buys 4 bats and 1 ball for ₹ 2050. Later, she buys 3 bats and 2 balls for ₹ 1600. Find the cost of each bat and each ball.
उत्तर
Let the cost of one bat be ₹ x
Let the cost of one ball be ₹ y
ATQ
4x + 1y = 2050 ...(1)
3x + 2y = 1600 ...(2)
4x + 1y = 2050 ...(From (1))
y = 2050 – 4x
Substitute value of y in (2)
3x + 2(2050 – 4x) = 1600
3x + 4100 – 8x = 1600
–5x = –2500
x = 500
Substitute value of x in (1)
4x + 1y = 2050
4(500) + y = 2050
2000 + y = 2050
y = 50
Hence
Cost of one bat = ₹ 500
Cost of one ball = ₹ 50
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