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A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum?
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A sum of money lent at simple interest amount to Rs.888 in 4 years and...
Understanding the Problem
We need to find the principal amount of money lent at simple interest. We know the amounts after specific periods:
- Amount after 4 years: Rs. 888
- Amount after 9 years: Rs. 1073
Step 1: Calculate the Interest for 5 Years
The difference in the amounts after 9 years and 4 years gives us the interest earned over those 5 years.
- Interest from Year 4 to Year 9 = Amount after 9 years - Amount after 4 years
- Interest = 1073 - 888 = Rs. 185
Step 2: Determine Annual Interest
Since this interest is earned over 5 years, we can find the annual interest.
- Annual Interest = Total Interest / Number of Years
- Annual Interest = 185 / 5 = Rs. 37
Step 3: Calculate Total Interest for 4 Years
Now, we can find the total interest earned over the first 4 years.
- Total Interest for 4 Years = Annual Interest x 4
- Total Interest for 4 Years = 37 x 4 = Rs. 148
Step 4: Calculate the Principal Amount
We now use the total interest earned in 4 years to find the principal amount.
- Amount after 4 Years = Principal + Total Interest for 4 Years
- Rs. 888 = Principal + Rs. 148
Final Calculation
- Principal = Amount after 4 Years - Total Interest for 4 Years
- Principal = 888 - 148 = Rs. 740
Conclusion
The principal amount lent is Rs. 740.
We need to find the principal amount of money lent at simple interest. We know the amounts after specific periods:
- Amount after 4 years: Rs. 888
- Amount after 9 years: Rs. 1073
Step 1: Calculate the Interest for 5 Years
The difference in the amounts after 9 years and 4 years gives us the interest earned over those 5 years.
- Interest from Year 4 to Year 9 = Amount after 9 years - Amount after 4 years
- Interest = 1073 - 888 = Rs. 185
Step 2: Determine Annual Interest
Since this interest is earned over 5 years, we can find the annual interest.
- Annual Interest = Total Interest / Number of Years
- Annual Interest = 185 / 5 = Rs. 37
Step 3: Calculate Total Interest for 4 Years
Now, we can find the total interest earned over the first 4 years.
- Total Interest for 4 Years = Annual Interest x 4
- Total Interest for 4 Years = 37 x 4 = Rs. 148
Step 4: Calculate the Principal Amount
We now use the total interest earned in 4 years to find the principal amount.
- Amount after 4 Years = Principal + Total Interest for 4 Years
- Rs. 888 = Principal + Rs. 148
Final Calculation
- Principal = Amount after 4 Years - Total Interest for 4 Years
- Principal = 888 - 148 = Rs. 740
Conclusion
The principal amount lent is Rs. 740.
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A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum?
Question Description
A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum?.
A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money lent at simple interest amount to Rs.888 in 4 years and to Rs.1073 in 9 years. Find the sum?.
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