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SIMPLE INTEREST

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first find out how much money we have after one year:<br />

A = Pert<br />

A = Pe(.055)(1)<br />

A = 1.056541P.<br />

Therefore, after 1 year, whatever the principal was, we now have 1.056541P.<br />

Next, find out how much interest was earned, I, by subtracting the initial<br />

amount of money from the final amount:<br />

I = A − P<br />

= 1.056541P − P<br />

= .056541P.<br />

Finally, to find the effective rate of interest, use the simple interest<br />

formula, I = Prt. So,<br />

I = Pr(1) = .056541P<br />

.056541 = r.<br />

Therefore, the effective rate of interest is 5.65%.<br />

DATA SUFFICIENCY PROBLEM<br />

1. An amount of money was lent for 3 years. What will be the difference between the simple<br />

and the compound interest earned on it at the same rate?<br />

I. The rate of interest was 8 p.c.p.a.<br />

II. The total amount of simple interest was Rs. 1200.<br />

<br />

<br />

<br />

<br />

<br />

Answer: Option E<br />

Explanation:<br />

Given: T = 3 years.<br />

I. gives: R = 8% p.a.<br />

II. gives: S.I. = Rs. 1200.<br />

Thus, P = Rs. 5000, R = 8% p.a. and T = 3 years.

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