8. Sequences and Series
hard

એક માણસ વાર્ષિક $5\%$ ના સાદા વ્યાજે બેંકમાં $Rs.$ $10,000$ જમા કરાવે છે, તો તેણે જમા કરાવેલ રકમથી $15$ માં વર્ષમાં જમા રકમ અને $20$ વર્ષ પછીની કુલ રકમ શોધો. 

A

$Rs$ $20000$

B

$Rs$ $20000$

C

$Rs$ $20000$

D

$Rs$ $20000$

Solution

It is given that the man deposited $Rs.$ $10000$ in a bank at the rate of $5 \%$ simple interest annually.

$=\frac{5}{100} \times Rs .10000= Rs .500$

$\therefore$ Interest in first year $10000+\underbrace{500+500+\ldots+500}_{14 \text { times }}$

Amount in $15^{\text {th }}$ year

$= Rs . 10000+14 \times Rs .500$

$= Rs .10000+ Rs .7000$

$= Rs .17000$

Amount after $20$ years $= Rs .10000+\underbrace{500+500+\ldots+500}_{20 \text { times }}$

$= Rs .10000+20 \times Rs .500$

$= Rs .10000+ Rs .10000$

$=R s .20000$

Standard 11
Mathematics

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