Algebra Class 10
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Questions and Answers

What is the total amount for a sum lent out at simple interest after 2 years?

  • Rs. 1164
  • Rs. 1008 (correct)
  • Rs. 1500
  • Rs. 1200
  • How long does Praveen take to complete the job by himself?

  • 15 days
  • 20 days
  • 30 days
  • 25 days (correct)
  • What will be the total amount after 3.5 years for the lent sum?

  • Rs. 1164 (correct)
  • Rs. 1120
  • Rs. 1008
  • Rs. 1150
  • If Praveen and Sonia work together for 5 days, how much work do they complete together?

    <p>1/5 of the total work</p> Signup and view all the answers

    How many days will Sonia take to finish the remaining work after Praveen leaves?

    <p>21 days</p> Signup and view all the answers

    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.

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