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Simple Interest Questions for RRB GROUP D

Free, AI-curated practice for the Simple Interest section of RRB GROUP D. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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📍 Simple Interest is also tested in:
SSC CGL (46)SSC CHSL (30)SSC MTS (29)UP POLICE CONSTABLE (20)
Why this topic matters · 7 min read
Simple Interest is one of the most frequently asked topics in RRB Group D Quant section. Expect 1-3 direct questions per exam, mostly straightforward formula-based calculations. Questions test your ability to find SI, Rate, Time, or Principal when other values are given. Some questions mix SI with percentage concepts. Difficulty is low to medium — a well-prepared aspirant should solve these in under 60 seconds each.

Core Concept of Simple Interest

When you borrow or lend money, the extra amount paid for using that money is called Interest. In Simple Interest, the interest is always calculated on the original amount (Principal) — it never changes, year after year. Think of it like a fixed monthly rent you pay on the same house, no matter how long you stay.

  • Principal (P): The original amount borrowed or invested
  • Rate (R): Interest charged per year, expressed as a percentage
  • Time (T): Duration of the loan or investment, in years
  • SI: The extra amount paid or earned on top of Principal
  • Amount (A): Total money returned = Principal + Simple Interest
Key formulas
Simple Interest
SI = (P x R x T) / 100
When: Use when P, R, T are given and you need to find interest earned or paid
Principal
P = (SI x 100) / (R x T)
When: Use when SI, R, T are given and P is unknown
Rate
R = (SI x 100) / (P x T)
When: Use when SI, P, T are given and Rate is unknown
Time
T = (SI x 100) / (P x R)
When: Use when SI, P, R are given and Time is unknown
Total Amount
A = P + SI
When: Use to find the final amount to be returned after interest is added
Worked examples

Example 1: P = 5000, R = 6%, T = 3 years. SI = (5000 x 6 x 3)/100 = 90000/100 = 900. Amount = 5000 + 900 = 5900.

Example 2: SI = 600, R = 5%, T = 4 years. Find P. P = (600 x 100)/(5 x 4) = 60000/20 = 3000.

Finding Rate or Time — Reverse Questions

RRB Group D often asks reverse questions where SI and Amount are given, but Rate or Time is unknown. The trick is to first extract SI from Amount (SI = A - P), then plug into the formula. Many students panic in reverse questions — just remember the formula triangle: SI in the numerator, everything else in the denominator.

  • Always find SI first if Amount is given: SI = A - P
  • If amount doubles: SI = P, so P x R x T / 100 = P, meaning R x T = 100
  • If amount triples: SI = 2P, meaning R x T = 200
  • Time in months must be converted to years (divide by 12) before using formula
  • Rate is always per annum unless stated otherwise
Key formulas
Doubling Time
T = 100 / R
When: When amount doubles (A = 2P), find time taken at given rate
Tripling Time
T = 200 / R
When: When amount triples (A = 3P), find time taken at given rate
Worked examples

Example: A sum doubles in 8 years under SI. Find rate. SI = P, so P = (P x R x 8)/100. R = 100/8 = 12.5% per annum.

Example: P = 4000, A = 5200, T = 4 years. Find R. SI = 5200 - 4000 = 1200. R = (1200 x 100)/(4000 x 4) = 120000/16000 = 7.5%.

Comparing Two SI Cases

Some RRB questions give two different scenarios and ask you to find a common unknown. For example, the same principal at different rates for different times gives certain interest values. Set up two equations and solve. This type is slightly harder but very manageable if you write the equations clearly.

  • Write SI formula for both cases separately
  • Keep the unknown (P, R, or T) as a variable
  • Divide or subtract the two equations to eliminate the common variable
  • Units must be consistent — both times in years, both rates in percent
  • These questions usually appear as word problems — read carefully
Worked example

Example: A sum gives SI of 360 in 3 years at 6% and SI of 400 in 4 years at R%. Find R. From first: P = (360 x 100)/(3 x 6) = 2000. From second: 400 = (2000 x R x 4)/100. R = (400 x 100)/(2000 x 4) = 5%.

⚠ Common mistakes to avoid
  • Using Amount instead of Principal in SI formula — always separate P and SI before calculating
  • Forgetting to convert months to years — if T = 6 months, use T = 0.5, not 6
  • Confusing Simple Interest with Compound Interest — in SI, interest never compounds, always on original P
  • In doubling/tripling problems, forgetting that SI = P (not A = P) when amount doubles
  • Not reading whether Rate is per month or per annum — RRB questions sometimes switch this to trick you
🧠 Memory aids
  • Formula PIN: P-I-N = Principal x Interest-rate x Number-of-years, divide by 100. Say PIN whenever you blank out.
  • Doubling trick: R x T = 100 always. So if Rate = 5%, Time = 20 years. If Rate = 10%, Time = 10 years. Easy!
  • Reverse formula memory: Whatever you want to find, put SI x 100 on top, and the other two on the bottom. Example: Want P? Put SI x 100 on top, R x T below.
  • Analogy: Think of SI like a water tap dripping at the same fixed rate every day — it never increases, never compounds.
🎯 RRB GROUP D exam tips
  • RRB Group D typically asks 1-2 SI questions per paper — they are direct and formula-based, not tricky. Do not overthink.
  • Most common question type: Given P, R, T — find SI or Amount. Practice these in under 30 seconds.
  • Second most common: Given A (Amount) and two of P/R/T, find the third. Key step is subtracting P from A to get SI first.
  • Doubling and tripling questions appear often — memorize R x T = 100 for doubling and R x T = 200 for tripling.
  • Avoid long division during exam — choose smart numbers or use percentage shortcuts. For example, 6% of 5000 = 300 per year, so 3 years = 900. Mental math saves 20-30 seconds per question.

Sample questions

Q1 · hard · AI-verified
A person borrows Rs. 15,000 at 12% per annum simple interest and lends it at 15% per annum simple interest. His gain in 3 years is:
  1. Rs. 1,200
  2. Rs. 1,350
  3. Rs. 1,500
  4. Rs. 1,800
Q2 · hard · AI-verified
A sum of Rs. 12,000 is invested at 15% per annum simple interest. After how many years will the amount become Rs. 21,600?
  1. 4 years
  2. 5 years
  3. 5.33 years
  4. 6 years
Q3 · hard · AI-verified
The difference between compound interest and simple interest on Rs. 8,000 for 2 years at 10% per annum is:
  1. Rs. 80
  2. Rs. 100
  3. Rs. 120
  4. Rs. 160
Q4 · hard · AI-verified
Two equal sums are lent at 8% and 10% per annum simple interest respectively. If the difference in interests after 3 years is ₹360, find each sum.
  1. ₹5,500
  2. ₹6,000
  3. ₹6,500
  4. ₹5,000
Q5 · hard · AI-verified
At what rate per annum will ₹12,500 amount to ₹15,000 in 4 years under simple interest?
  1. 4.5%
  2. 5%
  3. 4%
  4. 6%
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