8. Sequences and Series
medium

$500$ रुपये धनराशि $10 \%$ वार्षिक चक्रवृद्धी ब्याज पर $10$ वर्षों बाद क्या हो जाएगी, ज्ञात कीजिए ?

A

$Rs. 500(1.1)^{10}$

B

$Rs. 500(1.1)^{10}$

C

$Rs. 500(1.1)^{10}$

D

$Rs. 500(1.1)^{10}$

Solution

The amount deposited in the bank is $Rs.$ $500 .$

At the end of first year, amount $= Rs .500\left(1+\frac{1}{10}\right)= Rs .500(1.1)$

At the end of $2^{\text {nd }}$ year, amount $=$ $Rs.$ $500(1.1)(1.1)$

At the end of $3^{ rd }$ year, amount $= Rs.\, 500(1.1)(1.1)(1.1)$ and so on

$\therefore$ Amount at the end of $10$ years $=$ $Rs.$ $500(1.1)(1.1) \ldots . .(10 \text { times })$

$= Rs. 500(1.1)^{10}$

Standard 11
Mathematics

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