Questions and Answers
What is the total amount for a sum lent out at simple interest after 2 years?
How long does Praveen take to complete the job by himself?
What will be the total amount after 3.5 years for the lent sum?
If Praveen and Sonia work together for 5 days, how much work do they complete together?
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How many days will Sonia take to finish the remaining work after Praveen leaves?
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Study Notes
Interest Calculation
- A sum of money grows to Rs. 1008 after 2 years using Simple Interest (SI).
- The same sum grows to Rs. 1164 after 3½ years.
- The increase in the total amount from 2 years to 3½ years is Rs. 1164 - Rs. 1008 = Rs. 156 over a period of 1.5 years.
- To find the rate of interest, use the formula for SI: Interest = Principal × Rate × Time.
- The rate of interest can be calculated by assessing the interest earned in the 1.5 years, leading to different possible rates: 13%, 14%, 12.5%, or 15%.
Work and Time Management
- Praveen and Sonia can complete a job alone in 25 days and 30 days, respectively.
- Their combined work rate leads to a total completion in a shorter time frame when working together.
- After working together for 5 days, the remaining work needs to be finished by Sonia alone.
- The question is to determine how many days Sonia will take to finish this remaining work after Praveen leaves, with options including 18, 19, 20, or 21 days.
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Description
This quiz focuses on key concepts in Algebra for Class 10, specifically dealing with simple interest and work completion rates. Test your understanding of fundamental problem-solving techniques and calculations. Challenge yourself to find the correct answers based on provided scenarios.
