Simple Interest Important Practice Questions (Set 2)

Duration: 11 min

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This educational video is a lecture on simple and compound interest, presented by an instructor named Yash Jain. The video begins with an introductory slide defining the topic, followed by a segment featuring a woman, Janvi Kapoor, who is used as a character in the problems. The main content consists of three worked examples. The first problem asks for the total amount to be returned after 2.5 years on a principal of Rs. 8500 at 9% simple interest, which is solved by calculating the interest for 2 years (18%) and 0.5 years (4.5%), totaling 22.5%, and then adding it to the principal. The second problem involves two equal amounts borrowed for 4 and 5 years at 7.5% per annum, with a difference in interest of Rs. 150; the solution uses the formula for simple interest to find the principal. The third problem states that investing for 6 years instead of 4 years yields Rs. 5015 more interest, and the rate is found by setting up an equation for the difference in interest. The video concludes with a 'Thank You' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lesson on 'Simple and Compound Interest'. This is followed by a segment featuring a woman, Janvi Kapoor, who is the subject of the problems. The instructor, Yash Jain, is visible in a small window, introducing the topic. The on-screen text includes the title 'Simple Interest and Compound Interest' and the name 'YASH JAIN'. The instructor's name, 'YASH JAIN SIR', and his title, 'KNOWLEDGE GATE EDUCATOR', are also displayed. The background is a split screen with a house made of a dollar bill and stacks of coins on the left, and a colorful, patterned background with the instructor on the right.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to the first problem. The on-screen text displays the question: 'Q: Janvi Kapoor borrows Rs.8500 on simple interest at the rate of 9% per annum. What amount will she have to return after 2 and half years?'. The options are listed as (a) Rs. 10412.50, (b) Rs. 11412.50, (c) Rs. 12412.50, (d) Rs. 13412.50. The instructor begins to solve the problem by writing the formula for simple interest, SI = (P * R * T) / 100, on the screen. He calculates the interest for 2 years as 18% of 8500 and for 0.5 years as 4.5% of 8500, summing them to 22.5% of 8500. He then calculates the total interest as Rs. 1912.5 and adds it to the principal to get the final amount of Rs. 10412.50, which corresponds to option (a).

  3. 5:00 – 10:00 05:00-10:00

    The video presents the second problem. The on-screen text reads: 'Q: Two equal amount A and B are given on borrow at the rate of 7.5% per annum for 4 years and 5 years respectively. If the difference of simple interest received by them is Rs. 150. Find the amount?'. The options are (a) Rs.500, (b) Rs.1000, (c) Rs.2000, (d) Rs.3000. The instructor sets up the equation for the difference in interest: SI2 - SI1 = 150. He substitutes the values into the formula: (P * 7.5 * 5) / 100 - (P * 7.5 * 4) / 100 = 150. This simplifies to (37.5P - 30P) / 100 = 150, which becomes 7.5P / 100 = 150. Solving for P, he finds P = 2000. The correct answer is (c) Rs.2000. The third problem is then introduced, stating: 'Q: Arun invested a sum of money on simple interest for 4 years at a definite rate of interest. If he invested the same amount for 6 years then he will receive 5015 more interest than before. What is the rate of interest?'. The options are (a) 4%, (b) 6%, (c) 8%, (d) Cannot be determined, (e) None of these. The instructor sets up the equation: SI2 - SI1 = 5015, which becomes (P * R * 6) / 100 - (P * R * 4) / 100 = 5015. This simplifies to (6PR - 4PR) / 100 = 5015, or 2PR / 100 = 5015. He then states that the rate cannot be determined without knowing the principal amount, so the answer is (d) Cannot be determined.

  4. 10:00 – 11:20 10:00-11:20

    The video concludes with a final screen. The text on the screen reads 'THANKYOU FOR WATCHING' in large, stylized font. The background is a dark, solid color. This screen serves as an outro, signaling the end of the lecture.

The video provides a structured, step-by-step tutorial on solving simple interest problems. It begins with an introduction to the topic, then uses a narrative context with a character named Janvi Kapoor to frame the problems. The core of the video is the application of the simple interest formula, SI = (P * R * T) / 100, to three distinct scenarios. The first problem demonstrates calculating the total amount for a non-integer time period by breaking it into parts. The second problem shows how to find the principal when the difference in interest for different time periods is known. The third problem illustrates a scenario where the rate cannot be determined due to insufficient information. The progression moves from basic calculation to more complex problem-solving, reinforcing the core formula through multiple examples.