In a shooting competition, a marksman receives Rs.1 if he hits the mark and pays 30 paise if he misses it. He tried 50 shots and was paid Rs.11. How many times did he hit the mark?

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Solution

The correct option is B
20

$Let him hit the mark x times. Amount received from hitting the mark = 100 x paise. He missed the mark (50 - x) t i m e s . Amount he needs to pay = 30 (50 - x) p a i s e . Total amount received Rs. 11 = 1100 paise. 100 x - 30 (50 - x) = 1100 \Rightarrow 100 x - 1500 + 30 x = 1100 \Rightarrow 130 x = 2600 \Rightarrow x = \frac{2600}{130} = 20$

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In a shooting competition, a marksman receives Rs.1 if he hits the mark and pays 30 paise if he misses it. He tried 50 shots and was paid Rs.11. How many times did he hit the mark?

The correct option is B 20 Let him hit the mark x times.Amount received from hitting the mark = 100 x paise.He missed the mark (50−x) times.Amount he needs to pay =30 (50−x) paise.Total amount received Rs. 11 = 1100 paise.100x−30(50−x)=1100⇒100x−1500+30x=1100⇒130x=2600⇒x=2600130=20