A shirt costs Rs. 97. A boy takes Rs.50 from his mom and dad each.after buying the shirt he gets Rs.3 as change (100-97=3).Then he gives one rupee back to his mom and 1 rupee to his dad, and keeps 1 rupee for himself. hece he has to give back Rs.49 back to his mom and dad. Therefore the total is 49 + 49 + 1= 99. Where is the 1 rupee gone ?
Answers
This is a trick. Actually, you are adding numbers that you should not. Simply put, your question is just a trick and there is a deliberate mistake in it.
Let's break it down step by step.
You take ₹50 from each of your parents, which totals up to ₹100.
You then buy a ₹97 shirt and get ₹3 as change.
₹97 + ₹3 = ₹100
Now, you give ₹1 back to each parent (and keep the remaining ₹1 with yourself). So, now you owe ₹49 to each parent, i.e., ₹98 in total.
Here comes the deliberate mistake (or the trick) in the question.
You add up ₹98 with ₹1 that you had and ask where is the missing ₹1.
But, you can't add them up because you owe ₹98 to them while you have ₹1 with you.
You owe them ₹98 which includes the ₹1 (₹97 of the shirt + ₹1 that you kept = ₹98 that you have to return).
When you gave ₹2 in total to both parents, you subtracted it from ₹100. Then why are you adding that ₹1 you have to ₹98?
You owe them = ₹98
You have given them back = ₹2
This adds up to = ₹100
Let me explain it further (for better understanding).
Now, let's assume that you give that ₹1 you had to one parent. So, now you owe ₹49 to one parent and ₹48 to the other.
So, in total you owe ₹97 to them. You have already given back ₹3. Both add up to ₹100.
Voila!
The 1 rupee is not gone anywhere. The simple logic is that he has given back Rs. 2 and he owes Rs. 98 more, which adds up to Rs. 100
Given,
The cost of the shirt = Rs. 97
Money that has been taken by the boy from his mom = Rs. 50
Money that has been taken by the boy from his dad = Rs. 50
Change received = Rs. 3
[Money that has been given back to mom = Rs. 1
Money that has been given back to dad = Rs. 1
Money with him = Rs. 1]
To Find,
Where the 1 rupee is gone
Solution,
This problem is a very simple problem of comprehension and miscalculation in the problem statement
So let us see the flow of money from the boy step by step:
We are given that the shirt costs Rs. 97
Also, he takes Rs. 50 from his mom and dad each.
That is, he has Rs. 50 + Rs. 50 = Rs. 100 with him now
After he buys the shirt, he gets Rs. 100 - Rs. 97 = Rs 3 as change
The boy gives his dad and mom Rs. 1 back
This means he has to give his dad and mom Rs. 49 each
Also, he has Rs. 3 - Rs. 1 - Rs. 1 = Rs. 1 with him now
This means, Rs. 49 + Rs. 49 = Rs. 98 has to be given back to his parents
That is, he has already given back Rs. 2 and he owes Rs. 98 more
This adds up to a total of Rs. 100.
Keep in mind that, he still had Rs. 1, which can either be used to repay his mom or dad or he can keep it to himself.
Therefore, the 1 rupee is not gone anywhere. The simple logic is that he has given back Rs. 2 and he owes Rs. 98 more, which adds up to Rs. 100