Difference between compound and simple interest on a sum

This type of question, asked 5 times: CDS 1 2017, CDS 2 2017, CDS 1 2021, CDS 1 2023, CDS 1 2024. All 6 questions below, oldest first.

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Question 1
CDS 1 2017
37 $The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is Rs. 10. What is the sum ?$
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Question 2
CDS 2 2017
43 $The difference between the compound interest (compounded annually) and simple interest on a sum of money deposited for 2 years at 5% per annum is Rs. 15. What is the sum of money deposited ?$
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Question 3
CDS 1 2021
33 $The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money at 12% per annum for 2 years is Rs. 72. What is the principal amount?$
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Question 4
CDS 1 2023
41 $What is the difference between simple interest and compound interest on Rs. 10,000 for two years at 20% per annum compounded half-yearly ?$
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Question 5
CDS 1 2024
47 $Let x be the compound interest at the end of 3 years on a sum of Rs. 1000 at the rate of 10% compounded annually and y be the simple interest at the end of 3 years on a sum of Rs. 1000 at the annual rate of 11%. What is the difference between x and y ?$
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Question 6
CDS 1 2024
4 $If the rate of interest is 5%, then what would be the difference between compound interest and simple interest received on Rs. 10,000 (each) after 3 years from now ?$
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Question 1