What is the Math Case Study for Class 8 – Simple Interest Case Study?

The Math Case Study for Class 8 – Simple Interest Case Study helps students practice CBSE-based SI questions using real-life scenarios designed to build conceptual clarity.

How does this Simple Interest case study help Class 8 students?

This case study improves understanding of SI formulas, reasoning skills, and application-based learning, which boosts Class 8 exam performance.

Does this case study include solved answers?

Yes, the Simple Interest case study includes complete step-by-step answers to help students learn effective problem-solving methods.

Can students take this Simple Interest case study as an online test?

Yes, students can attempt the case study as an online test to check accuracy, improve speed, and evaluate their understanding of SI concepts.

Is this case study helpful for CBSE Class 8 exam preparation?

Absolutely. The case study follows CBSE patterns and helps students practice real exam-style questions, making revision easier and more effective.

Does this case study support self-study for Class 8 students?

Yes, it supports independent learning through solved examples, step-by-step explanations, and application-based Simple Interest problems.

Math Case Study for Class 8 Simple Interest Case Study Online Test

Riya plans to start a small savings routine to support her long-term education goals. She visits a local bank that offers two types of investment schemes. The first is a **simple interest** saving account offering a fixed rate of interest per year. The second is a **compound interest** plan that compounds annually. To understand the difference, Riya deposits different amounts in both schemes for various durations and compares the final returns. She notices that even small changes in time period or rate significantly affect maturity amounts. Her goal is to choose the scheme that gives her the highest return while fitting her monthly saving capacity. She prepares a financial comparison table for principal amounts such as 4000, 5000, and 6000 rupees at rates from 5% to 12%. Based on these observations, she realizes the importance of calculating interest accurately for long-term planning. The following questions are based on Riya’s study of these investment schemes.

1. Riya invests Rs. 4000 at 10% per annum for 3 years in a simple interest account. What is the interest earned?

Rs. 1000 Rs. 1200 Rs. 1400 Rs. 1500

Solution:
Using the Simple Interest formula: $SI = \frac{P \times R \times T}{100}$
$SI = \frac{4000 \times 10 \times 3}{100} = 1200$
Hence, the correct answer is option **(b)**.

2. If Riya invests Rs. 5000 at 8% compound interest for 2 years (compounded annually), what will be the amount?

Rs. 5832 Rs. 5400 Rs. 5720 Rs. 6000

Solution:
Using the Compound Amount formula: $A = P(1+\frac{R}{100})^T$
$A = 5000(1+\frac{8}{100})^2 = 5000(1.08)^2$
$A = 5000 \times 1.1664 = 5832$
Correct answer is option **(a)**.

3. The simple interest on a sum for 5 years at 6% per annum is Rs. 1800. What is the principal?

Rs. 5000 Rs. 6000 Rs. 7000 Rs. 8000

Solution:
Using $SI = \frac{P \times R \times T}{100}$: $1800 = \frac{P \times 6 \times 5}{100}$
$P = \frac{1800 \times 100}{30} = 6000$
Correct answer is option **(b)**.

4. For a fixed principal, which factor increases the difference between compound interest (CI) and simple interest (SI) the most?

Decrease in time Increase in time Decrease in rate Principal amount

Solution:
The difference between CI and SI grows exponentially as the time period increases, because **compound interest** calculates interest on the interest earned in previous periods (compounding effect). Thus, **increase in time** increases the difference the most.
Correct answer is option **(b)**.

5. Riya deposits Rs. 6000 at 12% simple interest. How much total amount will she receive after 4 years?

Rs. 8640 Rs. 7200 Rs. 8200 Rs. 8880

Solution:
First, calculate the Simple Interest (SI): $SI = \frac{6000 \times 12 \times 4}{100} = 2880$
Total Amount = Principal + SI
Amount $= 6000 + 2880 = 8880$
Correct answer is option **(d)**.

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Math Case Study for Class 8 Simple Interest Case Study Online Test