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# Find the amount and compound interest on RS 2500 in 2 years if the rates are 5% and 6% for successive years

**Given:**

P = Rs2500

R = 5% and 65

T = 2years

**To find:** Counpound in terest

**Solution**

A = P $(1 + \frac{R1}{100}) (1 + \frac{R2}{100})$

A - Amount

P - Principle

R - Rate of Interest

P = 2500 ; R_{1} = 5 % ; R_{2 } = 6 %

A = 2500 $(1 + \frac{5}{100}) (1 + \frac{6}{100})$

A = 2500 $(1 + \frac{1}{20}) (1 + \frac{3}{50})$

A = 2500 $(\frac{21}{20}) (\frac{53}{50})$

A = $\frac{25 \times 21 \times 53}{2 \times 5}$

A = $\frac{5 \times 21 \times 53}{2}$

A = 2782.50

Amount = 2782.50₹

Compound Interest = $Amount - Principe$

Compound Interest = $ 2782.50 - 2500 $

**Compound Interest = 282.50 ₹**

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