Question
Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:
$Rs.12,000$ for $3$ years at $15\%$ p.a.
$Rs.12,000$ for $3$ years at $15\%$ p.a.
✓
Answer
$Rs.12,000$ for $3$ years at $15 \%$ p.a.
$ P=\text { Rs } 12,000 ; t=3 \text { years; } r=15 \% \text { p.a. } $
$A=P\left(1+\frac{r}{100}\right) $
$ A=\text { Rs } 12000\left(1+\frac{15}{100}\right)$
$=\text { Rs } 12000 \times 1.15 \times 1.15 \times 1.15 $
$ =\text { Rs } 18250.50$
$\text { C.I. }=A-P$
$ =\text { Rs }(18,250.50-12,000) $
$ =\text { Rs } 6,250.50 $
Hence. Amount $= Rs.18.250.50$ and C.I. $= Rs.6.250 .50$
$ P=\text { Rs } 12,000 ; t=3 \text { years; } r=15 \% \text { p.a. } $
$A=P\left(1+\frac{r}{100}\right) $
$ A=\text { Rs } 12000\left(1+\frac{15}{100}\right)$
$=\text { Rs } 12000 \times 1.15 \times 1.15 \times 1.15 $
$ =\text { Rs } 18250.50$
$\text { C.I. }=A-P$
$ =\text { Rs }(18,250.50-12,000) $
$ =\text { Rs } 6,250.50 $
Hence. Amount $= Rs.18.250.50$ and C.I. $= Rs.6.250 .50$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A company with 4000 shares of nominal value of Rs.110 declares annual dividend of 15%. Calculate :
(i) the total amount of dividend paid by the company,
(ii) the annual income of Shah Rukh who holds 88 shares in the company,
(iii) if he received only 10% on his investment, find the price Shah Rukh paid for each share.
(i) the total amount of dividend paid by the company,
(ii) the annual income of Shah Rukh who holds 88 shares in the company,
(iii) if he received only 10% on his investment, find the price Shah Rukh paid for each share.
In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight sided polygon inscribed in the circle with centre O. Calculate the sizes of:
(i) ∠AOB, (ii) ∠ACB (iii) ∠ABC
(i) ∠AOB, (ii) ∠ACB (iii) ∠ABC
A sum of $Rs. 65000$ is invested for $3$ years at $8\%$ p.a. compound interest.
Find the sum due at the end of the second year.
→Find the sum due at the end of the second year.
In the given figure, PT touches the circle with centre O at point R. Diameter SQ is produced to meet the tangent TR at P.
Given ∠SPR = x° and ∠QRP = y°;
Prove that:
(i) ∠ORS = y°
(ii) Write an expression connecting x and y.
Given ∠SPR = x° and ∠QRP = y°;
Prove that:
(i) ∠ORS = y°
(ii) Write an expression connecting x and y.
Solve $(x-10)\left(\frac{1200}{x}+2\right)=1260$ and $x<0$.
→If $p, q$ and $r$ in continued proportion, then prove the following :
$p ^2- q ^2+ r ^2= q ^4\left(\frac{1}{ p ^2}-\frac{1}{ q ^2}-\frac{1}{ r ^2}\right)$
→$p ^2- q ^2+ r ^2= q ^4\left(\frac{1}{ p ^2}-\frac{1}{ q ^2}-\frac{1}{ r ^2}\right)$
In the given figure $\triangle A B C$ and $\triangle A M P$ are right angled at $B$ and $M$ respectively.
Given $\mathrm{AC}=10 \mathrm{~cm}, \mathrm{AP}=15 \mathrm{~cm}$ and $\mathrm{PM}=12 \mathrm{~cm}$.
(a) Prove $\triangle \mathrm{ABC} \sim \triangle \mathrm{AMP}$
(b) Find AB and BC .
→Given $\mathrm{AC}=10 \mathrm{~cm}, \mathrm{AP}=15 \mathrm{~cm}$ and $\mathrm{PM}=12 \mathrm{~cm}$.
(a) Prove $\triangle \mathrm{ABC} \sim \triangle \mathrm{AMP}$
(b) Find AB and BC .
A die is thrown once. Find the probability of getting a number: greater than or equal to 4
The mid point of the line segment joining $(2a, 4)$ and $(-2, 2b)$ is $(1, 2a + 1).$ Find the values of a and b.
→By selling at Rs. 77 , some $2 \frac{1}{4} \%$ shares of face value Rs. 100 , and investing the proceeds in $6 \%$ shares of face value Rs. 100, selling at 110, a person increased his income by Rs, 117 per annum. How many shares did he sell?
→