Question

calculate the compound intrest for second year on 8000 invested for 3 year at 10% p. a. ​

Answer 1

Answer:

₹ 880

Step-by-step explanation:

8000×1×10/100

Amount end in 1st year = 8800

R=10%

8800×1×10/100

880 is the answer

Answer 2

$\LARGE{\underline{\underline{\sf{Given}}}}$

• Principal amount = Rs 8000
• Amount invested for 3 years
• Rate at which amount was invested is 10 %
• Invested at compound interest [compounded annually ]

$\LARGE{\underline{\underline{\sf{To \; Find}}}}$

• Compound interest for 2nd year .

$\LARGE{\underline{\underline{\sf{Solution}}}}$

$\large{\boxed{\sf{Formula \;=\; principal \; amount\; (1 + \frac{Rate}{100}) ^{(Time \;period)} }}}$

$\large{\underline{\underline{\sf{\purple{Interest \; on \; 3\; years}}}}}$

Using the above mentioned formula :-

$\sf{\implies Compound \; interest = 8000[1 + \frac{10}{100}] ^{3} }$

We have to find interest only so

$\sf{\implies \; Interest \; =\; 8000[\frac{11}{10}] ^{3} - 8000}$

$\sf{\implies\; Interest\; = [ 8 \times 11 \times 11 \times 11 ] - 8000}$

$\sf{\implies \; Interest \; =\;[ 8 \times 1331 ] - 8000}$

$\sf{\implies \; Interest \; = 10648 - 8000}$

${\underline{\underline{\sf{\purple{\implies \;INTEREST \; = \; 2648}}}}}$

$\large{\underline{\underline{\sf{\purple{Interest \; on \; 2 \; years}}}}}$

$\sf{\implies \; interest = \; [8000\times (1+ \frac{10}{100} )^{2}] - 8000 }$

$\sf{\implies \; Interest \; = 8000(\frac{110}{100} )^{2} - 8000}$

$\sf{\implies \; Interest \; = 80[121] - 8000}$

$\sf{\implies \; Interest\; = \; 9680 - 8000 = 1680}$

${\underline{\underline{\sf{\purple{\implies \;INTEREST\; = 1680}}}}}$

$\large{\underline{\underline{\sf{\purple{Interest \; on \; 1\; year}}}}}$

$\sf{\implies \; Interest \; = 8000[1+ \frac{10}{100} ]^{1} - 8000 }$

$\sf{\implies \; Interest \; = 8000[ \frac{110}{100} ] -8000}$

$\sf{\implies \; Interest \; = \; 8800-8000}$

${\underline{\underline{\sf{\purple{\implies \; INTEREST \; = \; 800}}}}}$

Interest for 2nd year = Interest for 2 years - Interest for 1 year

= 1680 - 800 = 880 rupees

${\underline{\underline{\sf{\pink{\implies Answer \; is \; Rs \; 880 }}}}}$