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Question
In a shooting competition a marks man receives 50 paise if he hits the mark and pays 20 paise if he misses it. He tried 100 shots and was paid Rs 29. How many times did he hit the mark?
Solution
Let the marksman hit x times and miss y times
Therefore, x - y = 100
⇒ y = x - 100......(i)
Also given, Amount earned
= Rs.29
= (29 x 100) paise
= 2900 paise
Therefore,
50x - 20y = 2900
5x - 2y = 290 .......(ii)
Substituting (i) in (ii)
5x - 2(x - 100) = 29
5x - 2x + 200 = 290
3x = 90
x = 30
Therefore, marks man hits 30 times and misses 70 times.
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