There is 60% increase in an amount in 5 years at simple interest. What will be the compound interest

M4maths Previous Puzzles

10 Dec 2018 Interest

There is 60% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 10,000 after 3 years at the same rate (compounded annually)?

OPtion

1) 4149.28
2) 4049.28
3) 4949.28
4) 4249.28
5) 4349.28
6) 4449.28
7) 4549.28
8) 4649.28
9) 4749.28
10) None of these

Solution

Let P be Rs 100 then SI after 5 years is Rs. 60

R = (SI/P*T) *100 = (60/100*5)*100 = 12%


CI = A{[ 1+ R/100]^T - 1 }
=> 10000 { [ 1 + 12/100]^3 - 1}
=> 10000 { [112/100]^3 - 1} = 4049.28
Option 2)

Correct Option: 2 Best Solution (9)

G.S.Kantharao   5 years AGO

60P/100=P*5*R/100
R=12%
A=P(1+R/100)^N
=10000*1.12*1.12*1.12
=₹14049.28
Compound Interest=₹4049.28
Right option is 2👈

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AASHRAY AJAY SHARMA   5 years AGO

Let the principal be P = Rs x
Amount, A = P + 60% of Rs x = P(1+TR/100)
= x + (60/100)x = x(1+5R/100)
= x + (3x/5) = 8x/5 = x (1+5R/100)
R=12%
Given P = Rs 10000, R = 12%, n = 3 years
A=P(1+R/100)^3, we get A = 14049.28
Compound interest = Rs 14049.28 – 10000 = Rs 4049.28

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Devendra Marghade   5 years AGO

Let x be the amount, then total amount after 5 years at the rate of r% = x + (x*r*5/100) = x*(160/100)
=> x(1 + r/20) = 1.6x
=> r = 12%
So C.I. of Rs. 10000 at 12% rate foe 3 years=10000(1 + r/100)^3 - 10000 = 10000[(28/25)^3 - 1] = 4049.28
Option 2)

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sruthi pujari   5 years AGO

To get 60% increase with simple interest for 5yrs , Rate of interest should be = (60/100)*(100/5) = 12%
compound interest on 10000 for 3yrs at 12% = (10000(1+(12/100)^3) -(100000) = 4049.28

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RISHIKA AGARWAL   5 years AGO

SI=PRT/100
0.6P=PR5/100
R=12
For CI,
A=P(1+R/100)^t
A=10000(1+12/100)^3
A=14049.28
CI=4049.28

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MANISHA JADHAV   5 years AGO

let P. A=100 , I=60% OF P.A=60
TIME=5 years
rate R = (60*100)/(5*100)=12
now to calculate compound intrest
C.P= P{1+12/100}^3-P
=10000{1.12}^3-10000
=4049.28

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Kariamal   5 years AGO

P=100,s.i=60,t=5
R=12%
C.I=10000(1+12/100)^3-1
=4049.28

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Nandhini K   5 years AGO

60/5 = 12%
For 3 yrs the cd interest will be 10000*0.12 = 1200
11200*0.12=1344
12544*0.12=1505.28
Total=1200+1344+1505.28=4049.28

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RAMADURAI NATESAN   5 years AGO

S.I.= 5PR/100 = PR/20.
A=P+PR/100 =P(1+R/20) = 1.6 P
1+R/20 =1.6 .R =12.
Compounding,
A=10000(1.12)power3=14049.28.
I =4049.28

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