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Simple Interest Questions for SSC GD

Free, AI-curated practice for the Simple Interest section of SSC GD. 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 regularly asked topics in SSC GD Maths. Expect 1-2 direct questions per paper, sometimes hidden inside word problems about loans, deposits, or savings. Questions are straightforward: find SI, find Rate, find Time, or find Principal. Difficulty is low to medium. A student who memorizes the formula and practices 10-15 questions can score full marks here easily.

What is Simple Interest?

When you borrow money or deposit money in a bank, the extra money paid or earned on the original amount is called Interest. In Simple Interest, this extra amount is always calculated on the original Principal only — it does not change year after year. Think of it like paying a fixed rent every year on the money you borrowed. The Principal is the original sum, Rate is the percentage charged per year, and Time is how many years.

  • Principal (P): The original amount borrowed or deposited.
  • Rate (R): Interest charged per year, written as percentage.
  • Time (T): Number of years the money is kept or borrowed.
  • SI is always calculated on the original Principal, not on accumulated interest.
  • Total Amount (A) = Principal + Simple Interest.
  • SI grows in a straight line — equal interest every year.
Key formulas
Simple Interest
SI = (P x R x T) / 100
When: Use when Principal, Rate, and Time are given and you need to find interest earned or paid.
Total Amount
A = P + SI
When: Use when question asks for the total amount returned or received at end of period.
Find Principal
P = (SI x 100) / (R x T)
When: Use when SI, Rate, and Time are known but Principal is missing.
Find Rate
R = (SI x 100) / (P x T)
When: Use when SI, Principal, and Time are given and Rate is the unknown.
Find Time
T = (SI x 100) / (P x R)
When: Use when SI, Principal, and Rate are given and Time is the unknown.
Worked examples

Example 1: Ramesh borrows Rs 5000 at 8% per annum for 3 years. Find SI and total amount. SI = (5000 x 8 x 3) / 100 = 120000 / 100 = Rs 1200. Total Amount = 5000 + 1200 = Rs 6200.

Example 2: SI on a sum is Rs 900 after 3 years at 10% per annum. Find the Principal. P = (900 x 100) / (10 x 3) = 90000 / 30 = Rs 3000.

Shortcut — When Rate or Time Doubles

SSC GD often gives a twist: what happens to SI if Rate is doubled or Time is tripled? Since SI = (P x R x T) / 100, all three variables are directly proportional. If you double R, SI doubles. If you triple T, SI triples. This is a very quick one-step answer if you understand proportionality. No need to recalculate from scratch.

  • SI is directly proportional to P, R, and T individually.
  • Double the Rate — SI doubles (Principal and Time unchanged).
  • Halve the Time — SI also halves.
  • If both Rate and Time are doubled, SI becomes 4 times.
  • These proportion tricks save 30-40 seconds per question.
Key formulas
Proportionality Rule
SI2 / SI1 = (P2 x R2 x T2) / (P1 x R1 x T1)
When: Use when one or more variables change and you need to compare new SI with old SI.
Worked example

Example: SI on Rs 4000 at 5% for 2 years is Rs 400. If Rate is doubled to 10%, new SI = 400 x 2 = Rs 800. No fresh calculation needed.

Finding Rate or Time from Amount

Some SSC GD questions give the final Amount (not SI directly) and ask for Rate or Time. The trick is to first subtract Principal from Amount to get SI, then use the standard formula. Many students panic because Amount is given instead of SI — do not fall for that trap. Just find SI first, then proceed normally.

  • Always do: SI = Amount minus Principal as the first step.
  • Then use R = (SI x 100) / (P x T) or T = (SI x 100) / (P x R).
  • Questions may state money doubles or triples — use that to find SI quickly.
  • If money doubles: SI = P (because A = 2P means SI = P).
  • If money triples: SI = 2P.
Worked examples

Example: A sum doubles itself in 5 years at Simple Interest. Find the Rate. If P = 100, then A = 200, so SI = 100. R = (100 x 100) / (100 x 5) = 10000 / 500 = 20% per annum.

Example: Rs 8000 becomes Rs 10400 in 3 years. Find Rate. SI = 10400 - 8000 = 2400. R = (2400 x 100) / (8000 x 3) = 240000 / 24000 = 10% per annum.

⚠ Common mistakes to avoid
  • Using Amount instead of Principal in the SI formula. Always check: is the number given the original sum or the final amount?
  • Forgetting to divide by 100 in SI = (P x R x T) / 100. Writing SI = P x R x T gives a wrong answer 100 times larger.
  • Confusing Simple Interest with Compound Interest. In SI, interest is always on original Principal. No interest on interest.
  • When time is given in months, not converting to years. For example, 6 months = 6/12 = 0.5 years. Use T = 0.5 in formula, not T = 6.
  • Missing the last step: question asks for Amount but student writes SI as the final answer. Always add P + SI at the end if Amount is asked.
🧠 Memory aids
  • Formula hook PRT100: Remember the phrase Pretty Relaxed Tiger — P for Pretty (Principal), R for Relaxed (Rate), T for Tiger (Time), all divided by 100. SI = PRT/100.
  • Money doubles trick: Double money means SI equals Principal. Rate = 100 divided by Time. Simple as that.
  • Proportionality shortcut: Think of SI as a rectangle area — Length is R, Width is T, Height is P. Increase any side, area grows equally. Double the side, double the area.
  • Month to Year trick: Months divided by 12 gives you Time in years. 9 months = 9/12 = 3/4. Write it as fraction directly in formula.
🎯 SSC GD exam tips
  • SSC GD typically asks 1 to 2 questions from this topic. They are usually direct formula application — no complex twists. Do not overthink.
  • The most common question type is: SI or Amount is given, find one missing variable (P, R, or T). Practice all three reverse formulas equally.
  • Money doubling or tripling questions appear frequently. Memorize: double means R x T = 100, triple means R x T = 200. This gives the answer in under 10 seconds.
  • Time is often given in months in some questions — this is a deliberate trap. Always convert months to years before substituting in the formula.
  • Target to solve each SI question in under 60 seconds. These are easy scoring questions — do not spend more than 1 minute. If stuck, move on and return.

Sample questions

Q1 · hard · AI-verified
A sum of money at simple interest doubles itself in 8 years. In how many years will it become 5 times itself?
  1. 30 years
  2. 40 years
  3. 32 years
  4. 25 years
Q2 · hard · AI-verified
A person borrowed ₹15000 at 12% simple interest per annum. After how many years will the amount become ₹25800?
  1. 5 years
  2. 6 years
  3. 7 years
  4. 8 years
Q3 · hard · AI-verified
A soldier invests his salary of ₹18,000 in two schemes. ₹10,000 at 8% per annum and the remaining at 12% per annum, both at simple interest. What is the total interest earned after 3 years?
  1. ₹4,800
  2. ₹5,280
  3. ₹5,760
  4. ₹4,320
Q4 · hard · AI-verified
If the simple interest on a certain sum for 6 years at 9% per annum is ₹1,620 less than the principal, find the principal amount.
  1. ₹3,500
  2. ₹2,800
  3. ₹2,500
  4. ₹3,000
Q5 · hard · AI-verified
The difference between simple interest and compound interest on ₹5,000 for 2 years at 12% per annum is ₹72. What would be the simple interest on the same sum for 3 years at the same rate?
  1. ₹1,600
  2. ₹1,800
  3. ₹2,000
  4. ₹1,500
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