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Simple Interest Aptitude: Formulas, Tricks, Solved Examples & Practice Questions

20 July 2026 · Pocket Aptitude Team

Simple Interest Aptitude: Formulas, Tricks, Solved Examples & Practice Questions

Simple Interest is one of the easiest and most frequently asked topics in quantitative aptitude. Whether you’re preparing for TCS NQT, Infosys, Accenture, Wipro, SSC, Banking, CAT, Railways, or other competitive exams, understanding Simple Interest can help you score quick marks.

Most Simple Interest questions are formula-based and require only basic arithmetic. With a strong grasp of the formula and a few shortcut techniques, you can solve many questions in under a minute.

In this guide, you’ll learn:

  • What Simple Interest is
  • Important formulas
  • Formula summary table
  • Solved examples
  • Shortcut tricks
  • Common mistakes
  • 30 practice questions
  • FAQs

What is Simple Interest?

Simple Interest (SI) is the interest calculated only on the original principal amount. Unlike Compound Interest, the interest does not get added back to the principal after each period.

Example

If you invest ₹10,000 at 8% per annum for 3 years, the interest is calculated only on ₹10,000 every year.


Simple Interest at a Glance

TermMeaning
Principal (P)Original amount borrowed or invested
Rate (R)Annual interest rate (%)
Time (T)Duration in years
Interest (SI)Money earned or paid
Amount (A)Principal + Interest

Simple Interest Formula

Formula

SI = (P × R × T) / 100

Where:

  • P = Principal
  • R = Rate of Interest (%)
  • T = Time (Years)

Amount Formula

Amount = Principal + Simple Interest

or

A = P + SI

Formula Summary

FindFormula
Simple InterestSI = (P × R × T) / 100
AmountA = P + SI
PrincipalP = (SI × 100) / (R × T)
RateR = (SI × 100) / (P × T)
TimeT = (SI × 100) / (P × R)

When to Use the Simple Interest Formula

Simple Interest is commonly used in:

  • School aptitude questions
  • Placement aptitude tests
  • Banking exams
  • Personal loans
  • Short-term loans
  • Some fixed deposits
  • Financial literacy calculations

Solved Examples

Example 1 – Find Simple Interest

Question

A sum of ₹8,000 is invested at 10% per annum for 3 years.

Solution

SI = (8000 × 10 × 3) / 100
   = ₹2,400

Answer: ₹2,400


Example 2 – Find Amount

Question

  • Principal = ₹12,000
  • Rate = 5%
  • Time = 4 years

Solution

SI = (12000 × 5 × 4) / 100
   = ₹2,400

Amount = 12,000 + 2,400
       = ₹14,400

Answer: ₹14,400


Example 3 – Find Principal

Question

  • Interest = ₹900
  • Rate = 6%
  • Time = 3 years

Solution

P = (900 × 100) / (6 × 3)

P = ₹5,000

Example 4 – Find Rate

Question

  • Principal = ₹10,000
  • Interest = ₹2,500
  • Time = 5 years

Solution

R = (2500 × 100) / (10000 × 5)

R = 5%

Example 5 – Find Time

Question

  • Principal = ₹8,000
  • Interest = ₹1,600
  • Rate = 10%

Solution

T = (1600 × 100) / (8000 × 10)

T = 2 years

Example 6 – Time in Months

Question

  • Principal = ₹12,000
  • Rate = 12%
  • Time = 18 months

Convert months into years.

18 months = 18 / 12 = 1.5 years

SI = (12000 × 12 × 1.5) / 100

SI = ₹2,160

Example 7 – Time in Days

Question

  • Principal = ₹5,000
  • Rate = 10%
  • Time = 180 days

Convert days into years.

180 / 365 ≈ 0.493 years

SI ≈ ₹247

Example 8 – Word Problem

Ravi borrowed ₹15,000 at 8% simple interest for 2 years.

Interest = (15000 × 8 × 2) / 100
         = ₹2,400

Total Amount = ₹17,400

Example 9 – Placement Style Question

A sum becomes ₹11,500 after 3 years at 10% simple interest.

Find the principal.

Let Principal = P

Amount = P + 30% of P

Amount = 1.3P

1.3P = 11,500

P = ₹8,846.15

Example 10 – Mixed Aptitude Question

A sum doubles in 20 years under simple interest.

Find the annual rate.

Interest = Principal

R = 100 / 20

R = 5%

Simple Interest vs Compound Interest

Simple InterestCompound Interest
Calculated only on principalCalculated on principal plus accumulated interest
Linear growthExponential growth
Easier calculationsMore complex calculations
Mostly used in aptitude basicsUsed in advanced finance

Coming Soon: Compound Interest Aptitude Guide


Pocket Aptitude Speed Tips

Tip 1

Cancel common factors before multiplying.

Example:

(5000 × 12 × 5) / 100

5000 ÷ 100 = 50

50 × 12 × 5

This saves time during exams.


Tip 2

Memorize common percentages.

  • 5%
  • 10%
  • 20%
  • 25%
  • 50%

These frequently appear in aptitude questions.


Tip 3

Always convert months into years before applying the formula.


Tip 4

Write the formula first.

This reduces calculation mistakes.


Common Exam Traps

Many students lose easy marks because of small mistakes.

Avoid these:

  • Forgetting to convert months into years
  • Confusing Amount with Interest
  • Ignoring the phrase per annum
  • Dividing incorrectly by 100
  • Using the Compound Interest formula instead of Simple Interest
  • Writing the wrong unit for time

Quick Revision Table

ConceptFormula
SI(P × R × T) / 100
AmountP + SI
Principal(SI × 100) / (R × T)
Rate(SI × 100) / (P × T)
Time(SI × 100) / (P × R)

Practice Questions

Beginner (1–10)

1.Find SI on ₹5,000 at 8% for 2 years.
2.Find SI on ₹9,000 at 6% for 4 years.
3.Find the Amount if Principal is ₹8,000 and SI is ₹1,200.
4.Find the Principal if SI = ₹600, Rate = 5%, Time = 2 years.
5.Find the Rate if SI = ₹800, Principal = ₹4,000, Time = 4 years.
6.Find SI on ₹15,000 at 10% for 1 year.
7.Calculate the Amount for ₹20,000 at 5% for 2 years.
8.Find Time if SI = ₹1,000, Principal = ₹5,000, Rate = 10%.
9.Find SI for ₹3,500 at 12% for 3 years.
10.A loan of ₹25,000 is borrowed at 8% for 2 years. Find the total amount.

Intermediate (11–20)

11.Find SI for ₹18,000 at 7.5% for 3 years.
12.A sum earns ₹2,400 at 8% in 4 years. Find the principal.
13.Find the rate if ₹12,000 earns ₹3,600 in 5 years.
14.Find the time if ₹10,000 earns ₹2,000 at 5%.
15.Calculate SI for 15 months.
16.Calculate SI for 9 months.
17.Calculate SI for 2.5 years.
18.Find the Amount after 18 months.
19.Find SI for 180 days.
20.A lender charges 12% per annum on ₹30,000 for 2 years. Find the total repayment.

Placement Level (21–30)

21.A sum becomes ₹13,200 after 4 years at 10%. Find the principal.
22.A sum doubles in 25 years. Find the rate.
23.A sum triples in 40 years. Find the rate.
24.Two sums earn equal SI under different rates. Find the missing principal.
25.Compare SI earned by ₹8,000 and ₹12,000 at different rates.
26.A borrower repays ₹18,400 after 2 years at 8%. Find the loan amount.
27.Find SI when time is 2 years 6 months.
28.A sum earns ₹5,000 interest in 5 years at 10%. Find the principal.
29.Find the Amount after 3 years if SI is ₹4,500 and Principal is ₹15,000.
30.A person invests ₹50,000 at 9% simple interest for 5 years. Find the interest and maturity amount.

Answers

1.₹800
2.₹2,160
3.₹9,200
4.₹6,000
5.5%
6.₹1,500
7.₹22,000
8.2 years
9.₹1,260
10.₹29,000
11.₹4,050
12.₹7,500
13.6%
14.4 years
15.Depends on the principal amount
16.Depends on the principal amount
17.Use T = 2.5
18.Amount = Principal + SI
19.Convert days into years first
20.₹37,200
21.₹11,000
22.4%
23.5%
24–30. No fixed values given....practice these using the formulas above.

Frequently Asked Questions

1. What is Simple Interest?

Simple Interest is interest calculated only on the original principal amount.

2. What is the formula for Simple Interest?

SI = (P × R × T) ÷ 100

3. What is the difference between Simple Interest and Compound Interest?

Simple Interest is calculated only on the principal, while Compound Interest is calculated on the principal plus previously earned interest.


4. Can time be given in months?

Yes. Convert months into years by dividing by 12.


5. Can time be given in days?

Yes. Convert days into years, usually by dividing by 365 (or 366 in a leap year if specified).


6. Is the interest rate always annual?

In aptitude questions, the rate is usually given per annum (per year) unless stated otherwise.


7. Which exams ask Simple Interest questions?

TCS NQT, Infosys, Accenture, Wipro, SSC, Banking, Railways, CAT, MAT, CMAT, and many state-level competitive exams.


8. Can the interest rate change every year?

The standard Simple Interest formula assumes a constant rate. If the rate changes each year, calculate the interest separately for each period and add the results.


9. How can I solve Simple Interest questions faster?

Memorize the formulas, simplify calculations by cancelling common factors before multiplying, and always convert the time into years before applying the formula.


10. Is Amount the same as Interest?

No.

  • Interest is the extra money earned or paid.
  • Amount is the total of the principal and the interest.

Summary

Simple Interest is one of the highest-scoring topics in quantitative aptitude because the concepts are straightforward and formula-based. By understanding the core formulas, practicing different question types, avoiding common mistakes, and using shortcut techniques, you can solve most Simple Interest problems quickly and accurately.

If you’ve already learned Percentage, Profit & Loss, and Discount, Simple Interest becomes even easier because it builds directly on percentage calculations. Continue practicing regularly, and then move on to Compound Interest to strengthen your aptitude skills further.