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Sid owes Rs. 570 to Rahul. He got Rs. 24...

Sid owes `Rs. 570` to Rahul. He got `Rs. 240` from his grandfather as gift. Also, he had to give `Rs. 80` to his younger brother. If he gives all the amount that he was left with to Rahul, find the amount he would still be owing to Rahul.

A

`Rs. 432`

B

`Rs. 422`

C

`Rs. 410`

D

`Rs. 420`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will break it down into manageable parts. ### Step 1: Understand the amounts involved Sid owes Rahul Rs. 570. He also received Rs. 240 from his grandfather and needs to give Rs. 80 to his younger brother. ### Step 2: Calculate the total amount Sid has after receiving the gift Sid's total amount after receiving the gift is calculated as follows: - Amount owed to Rahul: Rs. 570 (this is a debt, so we note it down) - Amount received from grandfather: Rs. 240 Total amount Sid has: \[ \text{Total Amount} = \text{Amount owed} + \text{Gift from grandfather} \] \[ \text{Total Amount} = 570 + 240 = 810 \] ### Step 3: Subtract the amount given to his younger brother Sid has to give Rs. 80 to his younger brother. We will subtract this from the total amount Sid has. Remaining amount after giving to his brother: \[ \text{Remaining Amount} = \text{Total Amount} - \text{Amount given to brother} \] \[ \text{Remaining Amount} = 810 - 80 = 730 \] ### Step 4: Calculate the amount still owed to Rahul Now, we need to find out how much Sid still owes Rahul after giving him the remaining amount. Amount still owed to Rahul: \[ \text{Amount still owed} = \text{Amount owed} - \text{Remaining Amount} \] \[ \text{Amount still owed} = 570 - 730 \] Since Sid is giving Rs. 730 to Rahul, we will perform the subtraction: \[ \text{Amount still owed} = 570 - 730 = -160 \] This means that Sid has paid off his debt and has Rs. 160 left over. ### Conclusion Sid will not owe any money to Rahul and will have Rs. 160 remaining after paying off his debt.
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