Question

Calculate amount and compound interest on:₹5200 for2½years at 6percent per annum completed half yearly​

Answer 1

Answer:

amount = 6028.22

compound interest =

828.22

Answer 2

Question :

Calculate amount and compound interest on:₹5200 for 2½ years at 6% per annum compounded half yearly.

Given :

• Principal (P) = ₹2500
• Time in years (t) = 2
• Rate of interest (r) = 8%
• Compound half yearly (n)= 2

To Find :

• Amount after 2½ years (A)
• Compound interest (C.I)

Formula Applied :

$\displaystyle {\boxed{\sf{A = p\[\left(1+ \frac{r}{(n)100}\right)\]^{nt}}}}$

$\boxed{\textsf{Compound Interest =Amount - Principle}}$

Solution :

$\displaystyle {\sf{A = p\[\left(1+ \frac{r}{(n)100}\right)\]^{nt}}}$

• Substitute given values in the formula.

$\sf \displaystyle {\sf \implies 5200 \times\[\left(1+ \frac{6}{2(100)} \right)\]^{2\frac{1}{2} \times 2}}$

$\sf \displaystyle {\sf \implies 5200 \[\left(1+ \frac{6}{200} \right)\]^{\frac{5}{2} \times 2}}$

$\sf \displaystyle {\sf \implies 5200\times \[\left(\frac{200+6}{200} \right)\]^5}$

$\sf \displaystyle {\sf \implies 5200\times \[\left(\frac{206}{200}\right)\]^5}$

$\displaystyle {\sf \implies 5200 \times \[\left(\frac{206 \times 206 \times 206 \times 206 \times 206}{200 \times 200 \times 200 \times 200 \times 200} \right)\]}$

$\sf \displaystyle {\sf \implies 6028.22}$

$\boxed{\textsf{Amount = Rs.6028.22}}$

${\textsf{Compound Interest =Amount - Principle}}$

$\sf \implies 6028.22 - 5200$

$\sf \implies 828.22$

$\boxed{\textsf{Compound Interest = Rs.828.22}}$

Required Answer :

Amount on ₹5200 for2½ years at 6% per annum compounded half yearly is $\sf \underline{\sf Rs. 6028.22}$

compound interest on ₹5200 for2½years at 6% per annum compounded d half yearly is $\sf \underline{\sf Rs.828.22}$