Question

If a person borrow Rs 15,000 for 3 years at an interest rate of 10% compounded annually. Then

what will be Compound Interest and the amount to be paid by him?

Answer 1

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

➬ Principal = Rs 15,000

➬ Number of year = 3 year

➬ Rate = 10 % p .a

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

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

➬ Compound Interest

➬ Amount

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

➢Here :

➳ Amount (A)

➳ Principal (P)

➳ Rate (R)

➳Year (n)

$\qquad{━━━━━━━━━━━━━━}$

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

❒ Formula Used :

$\large\underline{\underline{\maltese{\pink{\pmb{\sf{\: A= P (1+ \frac{R}{100} {)}^{n} }}}}}}$

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: A= 15000 \times (1+ \frac{10}{100} {)}^{3} }}}}}}$

$\large\underline{\underline{\maltese{\green{\pmb{\sf{\: A= 15000 \times (1+ \frac{10}{100} {)}^{3} }}}}}}$

$\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: A= 15000 \times (\frac{11}{10} {)}^{3} }}}}}}$

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: A= 15000 \times (\frac{11}{100}) \times ( \frac{11}{100}) \times ( \frac{11}{100}) }}}}}}$

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: A=19,965 }}}}}}$

$\qquad{━━━━━━━━━━━━━━}$

❒ Therefore :

• ➳ ❝ The amount is 19,965 Rs . ❞

$\large\underline{\underline{\maltese{\pink{\pmb{\sf{\:Now :-}}}}}}$

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

$\large\underline{\underline{\maltese{\orange{\pmb{\sf{\: Amount -Principle}}}}}}$

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\:19,965-15,000}}}}}}$

$\large\underline{\underline{\maltese{\pink{\pmb{\sf{\:4,965 }}}}}}$

$\qquad{━━━━━━━━━━━━━━}$

❒ Therefore :

• ➳ ❝ The Comound Interest is 4,965 Rs . ❞

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${\green{\underline{▬▬▬▬▬}}{\pink{\underline{▬▬▬▬▬}}{\orange{\underline{▬▬▬▬▬}}{\purple{\underline{▬▬▬▬▬▬}}}}}}$

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