For aiming a target a person gets one rupee each time when he hits it and…
2026
For aiming a target a person gets one rupee each time when he hits it and loses one rupee when he misses it. If he gets ₹ 40 after aiming at the target one hundred times, then how many times did he miss the target?
Answer: A. 30 — Let h be the number of hits and m be the number of misses. Since there are 100 attempts in total: h + m = 100. Now find his total money. Each hit earns +₹1…
- A.
30
- B.
40
- C.
60
- D.
70
Attempted by 5 students.
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Correct answer: A
Let h be the number of hits and m be the number of misses.
Since there are 100 attempts in total: h + m = 100.
Now find his total money. Each hit earns +₹1 and each miss costs −₹1. So money earned from hits = +1 × h = ₹h, and money lost on misses = −1 × m = −₹m.
Total money = (money from hits) − (money lost on misses) = h − m. He ends up with ₹40, so h − m = 40. (This is where the equation h − m = 40 comes from — the ₹40 is exactly hits minus misses, because each hit adds 1 and each miss subtracts 1.)
Subtract the second equation from the first: (h + m) − (h − m) = 100 − 40, which gives 2m = 60, so m = 30.
Therefore, he missed the target 30 times. (Check: h = 70, so 70 hits × ₹1 − 30 misses × ₹1 = 70 − 30 = ₹40.)