The difference between simple interest and the compound interest on a certain amount of money for 3 years at 7.5% per annum is Rs. 138.375. The sum is:

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28 Sep 2017 CI & SI The difference between simple interest and the compound interest on a certain amount of money for 3 years at 7.5% per annum is Rs. 138.375. The sum is:: OPtion
1) Rs.7500
2) Rs.7550
3) Rs.7600
4) Rs.8500
5) Rs.8250
6) Rs.8000
7) Rs.9000
8) Rs.7000
9) Rs.7800
10)None of these; Correct Option: 6 Best Solution (5)

G.S.Kantharao 7 years AGO

P(1+ 15/200)^3 - P-P*3*15/200
=0.24229688P - 0.225P = 138.375
0.01729688P = 138.375
P =138.375/0.01729688 = ₹8000.
Hence the right option is 6👈.

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AYAN PAUL 7 years AGO

Let the sum is Rs. X
Then from the question we can write that
X(1+7.5/100)^3 - X - X*7.5*3/100 = 138.375
Solving this equation we get X = Rs. 8000

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viswambher 7 years AGO

Simple Interest = PTR/100
Compound Interest = P(1+ (R/100))^T -P

P = Principal
T = Time
R = Rate
SI = Simple interest
CI = Compound Interest

therefore principal = 8000

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Sayan Roy 7 years AGO

let, sum=x
CI=(15507/64000)*x and SI= (225/1000)*x
CI-PI= (1107*x)/64000=138.375
Hence x=8000

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Anandsakthi 7 years AGO

SI=pnr/100==>p*3*7.5/100==>.225p
CI=p(1+p/100)^n-p==>1.2423p-p
Therefore,
(1.2423p-p)-(.225p)=138.375
p=7998.5~=8000

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Dimple

India

Punjab

Time: 00:01:33

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28 Sep 2017 CI & SI