Question

14. 40,000 is invested for 2 years at 8% for the first year and 12% for the second year compounded annually.find the compond interest and the amount .​

Answer 1

Answer: 20,000

20%of 40000=8000

8000 for 2year and 6 month is

8000× 30/12=20,000

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Answer 2

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Given :-}}}}}}$

➻ Principle (P)= Rs 40,000

➻Period (n) = 2 year

➻Rate of interest for first year(R1) = 8 %

➻Rate of interest for second year(R2) = 12 %

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$\large\underline{\underline{\maltese{\gray{\pmb{\sf{\: To \: Find :-}}}}}}$

➻ Comound Interest (C.I)=> ?

➻Amount (A) => ?

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$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}$

❒ Formula Used :

Formula of Required Amount for 1 st year

$\large\blue{\bigstar}{\underline{\boxed{\red{\sf{A =P(1 + \frac{R1}{100} {)}^{n} }}}}}$

Put the given values here in this formula

$\large\blue{\bigstar}{\underline{\boxed{\pink{\sf{A =40,000 \times (1 + \frac{8}{100} {)}^{1} }}}}}$

$\large\blue{\bigstar}{\underline{\boxed{\green{\sf{A = (\frac{40,000 \times108}{100}) }}}}}$

$\large{\red{:\longmapsto{\purple{\underline{\overline{\boxed{\sf{Required \: Amount =43,200 \:Rs}}}}}}}}$

❒Therefore

Amount for first year is 43,200 Rs

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Similarly for second year

❒ Formula Used :

Formula of Required Amount for 2nd year

$\large\blue{\bigstar}{\underline{\boxed{\red{\sf{A =P(1 + \frac{R2}{100} {)}^{n} }}}}}$

Put the given values here in this formula

$\large\blue{\bigstar}{\underline{\boxed{\pink{\sf{A =43,200\times (1 + \frac{12}{100} {)}^{2} }}}}}$

$\large\blue{\bigstar}{\underline{\boxed{\green{\sf{A = (\frac{43,200\times112}{100} ) }}}}}$

$\large{\red{:\longmapsto{\purple{\underline{\overline{\boxed{\sf{Required \: Amount =48,384 \:Rs}}}}}}}}$

❒Therefore

Amount for second year is 48,384 Rs

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Now

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Compund \: Interest :-}}}}}}$

❒ Formula Used :

Formula to find Compund Interest

$\large\blue{\bigstar}{\underline{\boxed{\red{\sf{C.I = Amount - Principle }}}}}$

Put the given values here in this formula

$\large\blue{\bigstar}{\underline{\boxed{\pink{\sf{C.I=48,384 \: Rs-40,000 \: Rs}}}}}$

$\large{\red{:\longmapsto{\purple{\underline{\overline{\boxed{\sf{Compund \: Interest =8,384 \:Rs}}}}}}}}$

❒Therefore

Comound Interest is 8,384 Rs

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

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