A person is given 10 rupees for shooting at a target and if he misses, then he has to give 10 rupees. If he gets 300 rupees for 100 chances, then how many chances did he miss?

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UGC NET Paper-I: Held on 12th July 2022 Shift 2
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  1. 35
  2. 45
  3. 55
  4. 25

Answer (Detailed Solution Below)

Option 1 : 35
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Concept Used:

The written problem needs to be converted to mathematical expression. For this, we use the unknown variable for the things which need to be found out.

Explanation:-

Total chances = 100

Suppose, that the chances he misses = x

Thus, the chances he hits = (100 - x)

Now, total money he gets is 300. Chances need to hit on target to earn Rs. 300,

⇒ 300 / 10 = 30

Hence, the price and penalty is same. So, the difference of hits chances and missed chances will be 30 (remaining chances). Thus,

⇒ (100 - x) - x = 30

⇒ 100 - x - x= 30

⇒ -2x = 30 - 100

⇒ -2x = -70

⇒ x = 35

Since, the number of chances he missed is 35.

Hence, the correct option is 1.

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