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 %.
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
a) Rs. 5000
b) Rs. 8500
c) Rs. 8250
d) Rs. 6000
e) None of these
Mohammed
Guys, does anyone know the answer?
get the difference between compound interest and simple interest at the same rate for 8000 from screen.
Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5% per annum.
Click here👆to get an answer to your question ✍️ Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5% 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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Given : Principal = Rs. 8000 Rate = 5% Time = 3 years Concept used : At compound interest, interest = P[1 + (R/100)]t - P
Home Quantitative Aptitude Interest Simple and Compound Both
Question
Download Solution PDF
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.
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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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