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The difference between compound interest and the simple interest on some amount of money lend at a rate of 7% p. a. for 3 years is Rs. 800. What is the approx. principal amount?

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The difference between compound interest and the simple interest on some amount of money lend at a rate of 7% p. a. for 3 years is Rs. 800. What is the approx. principal amount?


1). Rs. 53181
2). Rs. 55790
3). Rs. 54784
4). Rs. 51786


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1 answers

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Answered by on | Votes 0 |

Let the money lent be Rs. X

Now,

Compound Interest = P (1 + R/100)n - P

And,

SI = (P × r × n)/100

Where, P = Principal Amount

r = Rate of interest (per annum)

n = Number of years

Hence,

X × [1 + 7/100]3 - X - (X × 7 × 3)/100 = 800

X × (1.07)3 - 1.21X = 800

X = 53181

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