The difference between the compounded interest and the simple interest on a certain sum at 10% per a

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03 Jun 2016 Compound Interest

The difference between the compounded interest and the simple interest on a certain sum at 10% per annum for 2 years is Rs.52. Find the sum.

OPtion

1) 4600
2) 6200
3) 6000
4) 5800
5) 5600
6) 4800
7) 6400
8) 5400
9) 5200
10)5000

Solution

SI = Rs.(x*10/100 * 2) = Rs.x/5
CI = Rs.(x * (1+ 10/100)^2 - x) = Rs. (21x / 100)
Therefore
CI - SI = (21x/100 - x/5) = x/100
So x/100 = 52
x = 5200
Hence sum = Rs. 5200

Correct Option: 9 Best Solution (9)

RAHUL KUMAR   8 years AGO

The diff between for C.I. and S.I. for 2 years are
C.I. - S.I. = P(r/100)^2
52 = P(10/100)^2
P = Rs.5200

option (9)

Like? Yes (8) | No (3)  

Nikhil Tolani   8 years AGO

when time is 2 year ->
C.I-S.I= P(R/100)^2
52=P(10/100)^2
= 5200

Like? Yes (5) | No (2)  

Mukund Manohar   8 years AGO

Difference for 2 years = P*(R/100)^2
52 = P*(10/100)^2
52=P*(1/100)
P = Rs 5200

Like? Yes (3) | No (1)  

KASU HARINATH REDDY   8 years AGO

compound interest is1092
simple interest is 1040

Like? Yes (1) | No   

Lakshmipathi   8 years AGO

SI 5200 on 10% 2 years is 6240
CI 5200 on 10% 2 years is 6292

CI-SI=6262-6240===== 52

Like? Yes (3) | No (2)  

Raghav   8 years AGO

C.I - S.I = 52
(Amount - Sum) - S.I
p(1+ 10/100 )^2 - p - P*10*2/100 = 52

21p/100 - 2P/10 = 52

p = 5200

Like? Yes (3) | No (2)  

Aakash Beniwal   8 years AGO

Formula: -
Pci - Psi = P(( 1 + R/100) ^ n - ( 1 + nR/100))
putting
Pci - Psi = 52
R = 10
n=2
we get value of P = 5200.. Answer

Like? Yes (1) | No (1)  

nagendrababu   8 years AGO

p*r*R=100*100*52
p=[10000*52]/100=52*100
P=5200

Like? Yes (1) | No (1)  

Vidhika K   8 years AGO

Compound Interest:
P(1.1^2)-P= 0.21P
Simple Interest:
P*2*10/100=0.2P
difference= 0.01P
hence,sum= 52/0.01= 5200

Like? Yes | No (1)