The simple interest on Rs. 5000 at 10% per annum for 3 years is: | Mathematics MCQ | Examoogle

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The simple interest on Rs. 5000 at 10% per annum for 3 years is:

$\text{Rs. } 1200$

$\text{Rs. } 1500$

$\text{Rs. } 1800$

$\text{Rs. } 1000$

Correct Answer

📐 MA • Math Direct FormulaMathematicsMathematics

Option B

$\text{Rs. } 1500$

Quick Summary:

Calculate the effective percentage for 3 years at 10% per annum, which is 30%. Then directly find 30% of Rs. 5000 to get Rs. 1500 instantly.

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📐MAMath SolutionDirect Formula

📋 Given

Principal P = Rs. 5000, Rate R = 10% per annum, Time T = 3 years

🔢 Formula Used

SI=P×R×T100SI = \frac{P \times R \times T}{100}SI=100P×R×T​

⚡ Exam Hall Shortcut / Speed Trick

Calculate the effective percentage for 3 years at 10% per annum, which is 30%. Then directly find 30% of Rs. 5000 to get Rs. 1500 instantly.

⚠️ Common Student Trap / Pitfall

Confusing simple interest with compound interest or missing the division by 100 when applying the percentage rate.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Identify Given Parameters

Note the principal amount $P = \text{Rs. } 5000$ , annual interest rate $R = 10\%$ , and time period $T = 3 \text{ years}$ .

P=5000,R=10,T=3P = 5000, \quad R = 10, \quad T = 3P=5000,R=10,T=3

State the Simple Interest Formula

Write the standard formula used to compute simple interest.

SI=P×R×T100SI = \frac{P \times R \times T}{100}SI=100P×R×T​

Substitute and Evaluate

Substitute the values into the formula: $SI = \frac{5000 \times 10 \times 3}{100} = 50 \times 30 = 1500$ .

SI=5000×10×3100=1500SI = \frac{5000 \times 10 \times 3}{100} = 1500SI=1005000×10×3​=1500

✅

B is correct because the calculated simple interest is Rs. 1500.

Core Concepts Used

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Simple Interest Percentage Calculations Financial Arithmetic

💡 EXAM TIP

Mastering simple interest calculations provides the core foundation for solving complex compound interest and annual installment problems.

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