Math, asked by unique1man, 9 months ago

the compound interest of a sum of money for 1 year and 2 years are rs 450 and rs 945 respectively. find the rate of interest compounded yearly and he sum

Answers

Answered by Anonymous
1

ANSWER

SI= </p><p>100</p><p>PRT

Hence,</p><p>400= </p><p>100</p><p>PR2

⟹PR=20000⟹P= </p><p>R</p><p>20000

Also,</p><p>CI=P[(1+ </p><p>100</p><p>R</p><p>	</p><p> ) </p><p>2</p><p> −1]</p><p>420= </p><p>R</p><p>20000

[(1+ </p><p>100</p><p>R</p><p>	</p><p> ) </p><p>2</p><p> −1]

Solving this we get R=10%

ALTERNATE:−

CI for 2 years is=420 Rs.</p><p>SI for 2 years is=400 Rs.</p><p>Difference of CI and SI is 420−400=20 Rs.

If 2 years SI is 400 Rs.,then 1 year SI is = </p><p>2</p><p>400</p><p>	</p><p> =200

20 is the what percent of 200.</p><p>=20×( </p><p>200</p><p>100</p><p>	</p><p> )=10%

If 510% is 200 Rs. then 100% of that principal.</p><p>=200× </p><p>10</p><p>100</p><p>	</p><p> </p><p>=2000

So the principal is 2000 Rs.</p><p>Hence,</p><p>R= </p><p>PT</p><p>SI×100</p><p>	</p><p> = </p><p>2000×2</p><p>400×100</p><p>	</p><p> =10\%

Answered by rosey25
1

Answer:

So, Rs 576-480= Rs 96. Now , we can find out the rate of interest by applying the formula of Simple Interest for 1 year. So, Rs 400 is the sum of money which will amount to Rs 480 at the end of first year and Rs 576 at the end of second year in compound interest.

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