Question

12% प्रति वर्ष की दर से3 वर्ष के बाद रु 5000 /- के मलू धन पर चक्रवद्ृधि ब्याज क्या हौ​

Answer 1

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• Principal = Rs.5000
• Rate = 12 %
• Time = 3 years
• Compound = Annually

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• Compound Interst = ?

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$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ C.I = P \bigg( 1 + \dfrac{R}{100} \bigg) ^n - P }}}}}$

Where :

• C.I = Compound Interest
• A = Amount
• P = Principal
• R = Rate
• n = Time

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$\dag$ Calculating the Compound Interest :

${\longmapsto{\qquad{\sf{ C.I = P \bigg( 1 + \dfrac{R}{100} \bigg) ^n - P }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \bigg( 1 + \dfrac{12}{100} \bigg) ^3 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \bigg( 1 + \cancel\dfrac{12}{100} \bigg) ^3 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \bigg( 1 + 0.12 \bigg) ^3 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \bigg( 1.12 \bigg) ^3 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \times 1.12 \times 1.12 \times 1.12 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 5000 \times 1.404928 - 5000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 7024.64 - 5000 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\red{\frak{ Compound \; Interst = ₹ \; 2024.64 }}}}}}}}$

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$\dag$ Therefore :

❛❛ Compound Interst on this sum of money is ₹ 2024.64 . ❜❜

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