What will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

It is given that

Principal = ₹ 8000

Rate of interest = 5% p.a.

We know that

Interest for the first year = Prt/100

Substituting the values

= (8000 × 5 × 1)/ 100

= ₹ 400

So the amount for the first year or principal for the second year = 8000 + 400 = ₹ 8400

Here

Interest for the second year = (8400 × 5 × 1)/ 100

So we get

= ₹ 420

We know that

Amount after the second year = 8400 + 420

= ₹ 8820

Total compound interest = 8820 + 8000

= ₹ 820

Q.1.The difference in simple interest and compound interest on a certain sum of money in 2 years at 10 % p.a. is Rs. 50. The sum is

a) Rs. 10000

b) Rs. 6000

c) Rs. 5000

d) Rs. 2000

e) None of these

Q.2. The difference in simple interest and compound interest on a certain sum of money in 2 years at 18 % p.a. is Rs. 162. The sum is

a) Rs. 4000

b) Rs. 5200

c) Rs. 4250

d) Rs. 5000

e) None of these

Q.3. The compound interest on a certain sum of money for 2 years is Rs. 208 and the simple interest for the same time at the same rate is Rs. 200. Find the rate %.

What will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

a) 5 %

b) 6 %

c) 7 %

d) 4 %

e) 8 %

Q.4.The difference between compound interest and simple interest on a certain sum for 2 years at 10 % is Rs. 25. The sum is

a) Rs. 1200

b) Rs. 2500

c) Rs. 750

d) Rs. 1250

e) Rs. 2000

Q.5.The simple interest on a certain sum for 3 years in Rs. 225 and the compound interest on the same sum for 2 years is Rs. 165. Find the rate percent per annum.

a) 20 %

b) 2.5 %

c) 5 %

d) 15 %

e) 7.5%

Q.6.The simple interest on a sum of money for 2 years is Rs. 150 and the compound interest on the same sum at same rate for 2 years is Rs. 155. The rate % p.a. is

a) 16 %

b) 20/3 %

c) 12 %

d) 10 %

e) None of these

Q7.Mihir’s capital is 5/4 times more than Tulsi’s capital. Tulsi invested her capital at 50 % per annum for 3 years (compounded annually). At what rate % p.a. simple interest should Mihir invest his capital so that after 3 years, they both have the same amount of capital?

a) 20/3 %

b) 10 %

c) 50/3 %

d) 1.728 %

e) None of these

Q8.The difference in simple interest and compound interest on a certain sum of money in 3 years at 10 % p.a. is Rs. 372. The sum is

a) Rs. 8000

b) Rs.9000

c) Rs. 10000

d) Rs. 12000

e) None of these

Q9.Sahil’s capital is 1/6 times more than Chaya’s capital. Chaya invested her capital at 20 % per annum for 2 years (compounded annually). At what rate % p.a. simple interest should Sahil invest his capital so that after 2 years, they both have the same amount of capital?

a) 10%

b) 11 5/7%

c) 20%

d) 13 5/7%

e) None of these

Q10.The difference in simple interest and compound interest on a certain sum of money in 3 years at 20 % p.a. is Rs. 640. The sum is

What will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

a) Rs. 5000

b) Rs. 8500

c) Rs. 8250

d) Rs. 6000

e) None of these

Mohammed

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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 will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

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 will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

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

Download Solution PDF

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 will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?

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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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स्रोत : byjus.com

What is the difference between the compound interest and simple interest on Rupees 8000 at 5% per annum for 2 years?

Amount=P(1+r100)n=8000(1+5100)2=8000×(1+120)2=8000×(2120)2=8000×441400=20×441=8820∴CI=Amount−Principal=8820−8000=820.

What is the difference between the compound interest and the simple interest on 8000 at 5% pa for 3 years?

The difference of C.I and S.I on a sum at 5% per annum for 3 years is Rs. 1525.

What is the difference between simple interest and compound interest on a sum of 8000 for 2.4 years?

Answer: The difference between the simple interest and compound interest is Rs 80 . sum of Rs 8000 lent at 10% p.a. in 2 years.

What is the difference between C.I and SI on 8000 at 15% per annum for 2 years?

The difference between CI and SI on Rs. 8000 for 2yr is Rs. 20.