What is the difference between compound interest and simple interest on 8000 at 15% per annum?

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Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5% per annum.

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What is the difference between compound interest and simple interest on 8000 at 15% per annum?

Question

Find the difference between compound interest and simple interest on Rs.8000in 2years an at 5% per annum.

We have,

Easy Open in App Solution Verified by Toppr

P=Rs.8000,T=2 years,R=5%

We know that, SI= 100 P×R×T ​ or, SI= 100 8000×5×2 ​ or, SI=Rs.800 We know that, A=CI+P=P(1+ 100 R ​ ) T or, CI+8000=8000(1+ 100 5 ​ ) 2 or, CI+8000=8000(1+ 20 1 ​ ) 2 or, CI+8000=8000( 20 21 ​ ) 2 or, CI+8000=8820 or, CI=Rs.820

Therefore, the required difference

CI−SI=820−800 =Rs.20

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स्रोत : www.toppr.com

Given : Principal = Rs. 8000  Rate = 5%  Time = 3 years  Concept used : At compound interest, interest = P[1 + (R/100)]t - P

What is the difference between compound interest and simple interest on 8000 at 15% per annum?

Home Quantitative Aptitude Interest Simple and Compound Both

Question

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The difference between the compound interest and simple interest for 3 years at 5% per annum on 8,000 will be

Rs. 75 Rs. 69 Rs. 55 Rs. 61

Answer (Detailed Solution Below)

Option 4 : Rs. 61

Detailed Solution

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Given :

Principal = Rs. 8000

Rate = 5% Time = 3 years

Concept used :

At compound interest, interest = P[1 + (R/100)]t - P   (where p is the principle, R is the rate of interest and t is the time period)

At simple interest , interest = (P × R × T)/100

Calculations :

Principle = 8000

Interest at compound interest = 8000[1 + (5/100)]3 - 8000  (time is 3 years, are of interest is 5%)

⇒ 9261 - 8000 ⇒ 1261 Now,

Simple interest = (8000 × 5 × 3/)100

⇒ 1200

Difference of compound interest and simple interest = 1261 - 1200

⇒ 61 rupees

∴ Option 4 is the correct answer.

Alternate Method

Concept used:

Difference of C.I. and S.I. for 3 years = P(R/100)2((300 + R)/100)

Calculations:

Required difference = P(R/100)2((300 + R)/100)

⇒ 8000 × (5/100)2((300 + 5)/100)

⇒ 8000 × (1/400) × (305/100)

⇒ 8000 × 1/400 × 61/20

⇒ 61

∴ The required difference is Rs. 61.

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स्रोत : testbook.com

Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum.

Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum.

What is the difference between compound interest and simple interest on 8000 at 15% per annum?

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Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum.

Question

Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10% per annum.

Solution

Principal(P)=Rs. 8000

Rate(R)=10% p.a. Period(T)=3 years ∴ S.I for 3 years= P T R 100 = 8000 × 10 × 3 100 =Rs. 2400

Now, S.I. for 1st year =

R s . 8000 × 10 × 1 100 = 80 × 10 × 1

Amount for the first year=P+S.I.

=Rs. 8000 + Rs. 800=Rs. 8800

Principal for the second year= Rs. 8800

Interest for the second year=

8800 × 10 × 1 100 =Rs. 880 ∴

Amount after second year= Rs. 8800 + Rs. 880

=Rs. 9680

Principal for the third year= Rs. 9680

Interest for the third year

= R s . 9680 × 10 × 1 100 = R s . 968 ∴

C.I. for 3 years= Rs. 800+ Rs. 880+Rs. 968

Difference between C.I. and S.I. for 3 years

=Rs. 2648-Rs. 2400 =Rs. 248

MathematicsConcise MathematicsStandard VIII

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What is the difference between the compound interest and simple interest on 8000 at 15% per annum for 2 year?

The formula to find the simple interest is P×R×T/100. Hence, the difference between the compound interest and simple interest on Rs. 800 at 15% per annum for 2 years is Rs. 180.

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