Question

Abhinav borrowed Rs 2,000 from her friend at 12% per annum simple interest.She lent it to Amar at the same rate but compounded annually.Find his gain after 2 years
Pls give the answer with explanation.​

Answer 1

⚝ Given :

• ➙ Abhinav borrowed Rs 2,000 from her friend at 12% per annum simple interest.She lent it to Amar at the same rate but compounded annually.

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⚝ To Find :

• ➙ Profit after two years .

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⚝ Solution :

Formula Used :

$\large{\blue{\bigstar}} \: \: \: {\underline{\boxed{\red{\sf{ S.I = \dfrac{P \times R \times T}{100}}}}}}$

$\large{\blue{\bigstar}} \: \: \: {\underline{\boxed{\red{\sf{ C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^T - P}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━}$

~ Calculating the Simple Interest :

${\longmapsto{\qquad{\sf{ S.I = \dfrac{ P \times R \times T}{100}}}}} \\ \\ {\longmapsto{\qquad{\sf{ S.I = \dfrac{2000 \times 12 \times 2}{100}}}}} \\ \\ {\longmapsto{\qquad{\sf{ S.I = \dfrac{48000}{100}}}}} \\ \\ {\longmapsto{\qquad{\sf{ S.I = \cancel\dfrac{48000}{100}}}}} \\ \\ {\qquad{\sf{ Simple \: Interest \: = {\green{\sf{ Rs.480}}}}}}$

~ Calculating the Compound Interest :

${\longmapsto{\qquad{\sf{ C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^T - P}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I = 2000 \bigg(1 + \dfrac{12}{100} \bigg)^2 - 2000}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I = 2000 \times \bigg( \cancel\dfrac{112}{100} \bigg)^2 - 2000}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I = 2000 \times (1.12)² - 2000}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I = 2000 \times 1.2544 - 2000}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I = 2508.8 - 2000}}}} \\ \\ {\qquad{\sf{ Compound \: Interest \: = {\color{darkblue}{\sf{ Rs.508.8}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━}$

~ Calculating the Profit :

${\longmapsto{\qquad{\sf{Profit = C.I - S.I }}}} \\ \\ {\longmapsto{\qquad{\sf{ Profit = ₹\: 508.8 - ₹ \: 480}}}} \\ \\ {\qquad{\pink{\sf{ Profit \: = {\orange{\sf{ ₹ \: 28.8 }}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━}$

Therefore :

❝ Abhinav had a profit of ₹ 28.8 (approx). ❞

${\pink{\underline{\color{maroon}{✬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬✬}}}}$

Answer 2

Answer:

Step-by-step explanation: