What sum (in ₹) will earn an interest of ₹460 in 2 years at 8%... | Stage I (CBT I) MCQ | Examoogle

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Stage I (CBT I)RRB ALP CBT-I 11 Mar, 2026 Shift 1

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What sum (in ₹) will earn an interest of ₹460 in 2 years at 8% simple interest per year?

$3025$

$2675$

$3075$

$2875$

Correct Answer

📚 GK • GK Direct FormulaStage I (CBT I)RRB ALP CBT-I 11 Mar, 2026 Shift 1

Option D

$2875$

Quick Summary:

Given: Interest (SI) = ₹460, Time (T) = 2 years, Rate (R) = 8% per annum.

📐MAMath SolutionDirect Formula

📋 Given

Interest (SI) = ₹460, Time (T) = 2 years, Rate (R) = 8% per annum.

🔢 Formula Used

P=SI×100R×TP = \frac{\text{SI} \times 100}{R \times T}P=R×TSI×100​

⚡ Exam Hall Shortcut / Speed Trick

Total simple interest for 2 years at 8% per year = $2 \times 8\% = 16\%$ . Here, $16\% = ₹460$ . Therefore, $100\% = \frac{460}{16} \times 100 = 28.75 \times 100 = ₹2875$ .

⚠️ Common Student Trap / Pitfall

Multiplying the interest by rate and time directly instead of dividing by their product, leading to incorrect calculations.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Identify given parameters

From the question, we have Simple Interest $\text{SI} = 460$ , Time period $T = 2\text{ years}$ , and Rate of interest $R = 8\%\text{ per annum}$ .

SI=₹460,T=2,R=8%\text{SI} = ₹460, \quad T = 2, \quad R = 8\%SI=₹460,T=2,R=8%

State the Simple Interest formula

The standard formula for Simple Interest is $\text{SI} = \frac{P \times R \times T}{100}$ . Rearranging this for Principal ( $P$ ):

P=SI×100R×TP = \frac{\text{SI} \times 100}{R \times T}P=R×TSI×100​

Substitute the values into the formula

Substitute the given values into the formula to calculate $P$ :

P=460×1008×2P = \frac{460 \times 100}{8 \times 2}P=8×2460×100​

Simplify and calculate the final result

Simplify the denominator and divide $46000$ by $16$ to find the principal amount:

P=4600016=2875P = \frac{46000}{16} = 2875P=1646000​=2875

✅

D is correct because substituting $\text{SI} = 460$ , $R = 8$ , and $T = 2$ into $P = \frac{\text{SI} \times 100}{R \times T}$ yields $P = ₹2875$ .

Core Concepts Used

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Simple Interest Percentage Method for SI Principal Calculation

💡 EXAM TIP

For Simple Interest problems, thinking in terms of net percentage ( $R \times T\%$ ) makes calculation significantly faster and directly connects to profit/loss percentage techniques.

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