Calculating Simple Interest is an essential skill for anyone who maintains a bank account or wants to apply for a loan. Free Printable Simple Interest Worksheet PDF will improve your homeschool math skills as well as helps you to become better at calculations. Solutions provided for all the Questions in the Simple Interest Word Problems Worksheet will make it easy for you to learn the concept. Learn the Formulae, Tips & Tricks associated with the Simple Interest Concept easily by solving the problems on Simple Interest.

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## Calculating Simple Interest Worksheet

**I. **Find the amount and S.I of the following

a) If p=7000, R=5%, T=3 years

b) If p= 9000, R=3%, T=5 years

**Solution:**

Given that,

p=7000, R=5%, T=3 years

We know that S.I=ptr/100

S.I=7000 × 3 × 5/100

S.I=105000/100

S.I=1050

Amount=P+S.I

Amount=7000 + 1050=8050

Therefore, S.I is Rs 1050 and the Amount is Rs 8050.

b)If p= 9000, R=3%, T=5 years

Given that,

p= 9000, R=3%, T=5 years

We know that S.I=ptr/100

S.I=9000 × 5 × 3/100

S.I= 1350

Amount=Principle+S.I

Amount=9000 + 1350

=10350

Therefore, S.I is Rs 1350, Amount is Rs 10350.

**II. **a)If Principle=6000, S.I=250. Find the amount?

b) If S.I=300, Amount=4800. Find the Principle?

c) If Principle=1700,Amount=2000. Find the S.I?

**Solution:**

a) Given that,

Principle=Rs 6000, S.I=Rs 250

We know that Amount=Principle + S.I

Amount= 6000 + 250

Amount=Rs 6250

Therefore, Amount=Rs 6250.

b) Given that,

S.I=Rs 300, Amount=Rs 4800

We know that Amount=Principle + S.I

Principle=Amount-S.I

principle= 4800 – 300

=Rs 4500

Therefore, Principle is Rs 4500.

c) Given that,

Principle=Rs1700,

Amount=Rs 2000

We know that Amount=principle + Interest

Interest=Amount- Principle

Interest=2000 – 1700

Interest=Rs 300

Therefore, Simple Interest is Rs 300.

**III. **Find Time when, Principal is Rs 5000, Interest is Rs 200, Rate is 2% p.a?

**Solution:**

Given p=5000,

I=Rs 160

R=3%

We know that S.I=ptr/100

T = SI×100 / P × R

T=200 × 100/5000 × 3

T=20000/5000 × 3

T=12

Therefore, Time=12 years.

**Iv. **Find Rate when Principal is Rs 7000, Interest is Rs 700 and Time is 4 years?

**Solution:**

Given that,

Principal=7000

Interest=700

Time=4 years

We know that S.I=ptr/100

r=SI×100 / P × t

r=700 ×100 /7000 ×4

r=70000/28000

r=2.5

Therefore, rate=2.5%.

**V. **Find the principal which gives an Amount of Rs 3500 at the rate of 8% for 5 years?

**Solution:**

Given that,

Amount=3500

rate=8%

T=5 years

We know that S.I=ptr/100

p=SI×100 / t × r

p= 3500 ×100 / 5 × 8

p=350000/40

p=Rs 8750

Therefore, the Principal is Rs 8750.

**VI. **Sarath deposited Rs 10000 for 2 years and 6 months at the rate of 5% p.a. Find the amount at maturity?

**Solution:**

Given that,

Sarath deposited p=Rs10000

T=2 years 6 months

r=5%

First, the compound interest for 2 years will be calculated and then the amount after 2 years will be considered as principal and on this principle, the simple interest for 6 months will be calculated.

Compound interest for 3 years

A = P (1 + R/100)ⁿ

A=10000(1 + 5/100)^{2}

=10000(1+1/20)^{2}

=10000(21/20)^{2}

=Rs 1102.5

Now for the next 6 months, the principle will be Rs 1102.5.

Simple Interest = (P*R*T)/100

S.I=1102.5 × 5 × 6/100

S.I=Rs 330.75

Amount=Principle + interest

Amount=1102.5 + 330.75

Amount=Rs 1433.25

Hence, the maturity amount will be Rs 1433.25.

**VII. **Arun deposited Rs 15000 at a rate of 12% (p.a.) for 175 days. Find the amount he got back after 175 days.

**Solution:**

Given that,

P=Rs 15000,

r=12%,

T=175 days=5 months 15 days=5 1/2=11/2

Simple Interest = (P×R×T)/100

=15000 × 12 × 11/100 × 2 × 12

=825

Amount=Principle + Interest

=15000 + 825

=15825

Therefore, Amount is Rs 15825.

**VIII. **Kishore deposited Rs. 500 per month for 12 months in a banks’ recurring deposit account. If the bank pays interest at the rate of 9% per annum, find the amount (in Rs.) he gets on maturity?

**Solution:**

Given that,

p=500,

T=12 months

R=9%

Equivalent principal for 12 months = 100× n(n+1)/2

=500 × 12(13)/2

=39000

Interest=PRT/100

=39000 × 9 ×1/100 × 12

=292.5

Maturity amount=P × T+I

=500 × 12 + 292.5

=6000+292.5

=6292.5

Therefore, the maturity amount is Rs 6292.5.

**VIII. **Mahesh borrowed Rs 2000 at the rate of 5% (p.a.) for 5 years and 5 months. Find the amount he paid back?

**Solution:**

principle = Rs2000

time = 5.5 years

rate of interest = 5%

Simple Interest = P×T×R ÷ 100

= 2000×5.5×5 ÷ 100

= 550

Amount = Principle + Simple Interest

= 2000+550

= 2550

Therefore, Amount is Rs 2550.

**IX. **Find Principal when, Time is 2 years, Interest is Rs 400 and Rate is 3% p.a?

**Solution:**

Given that,

Time=2 years,

I=Rs 400

Rate=3%

Pricipal=(100 × Interest)/(Rate × Time)

=(100 × 400)/(3 × 2)

=40000/6

=6666.66

Therefore, Principle is Rs 6666.66.

**X. **In what time will Rs 500 amount to Rs 570 at the rate of 5% p.a. simple interest?

**Solution:**

Given that,**
**Principle = 500

Amount = 570

A = SI + P so,

SI = A – P

= 570-500

= 70

Now, T = SI * 100/P*R

= 70*100/500*5

= 7000/2500

= 2.8 years

Therefore, Time taken will be 2.8 years.

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