Question

the compound intrest for the third year is 25000 and find the principle if the rate of intrest is 25%

Answer 1

Given :

• Principal = Rs.25000
• Rate = 25 %
• Time = 3 years

To Find :

• Compound Interest = ?

Solution :

✴ Formula Used :

• ${\underline{\boxed{\red{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100} \bigg\rgroup ^n - P }}}}}$

Where :

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

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✴ Calculating the Compound Interest :

${\longmapsto{\qquad{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100} \bigg\rgroup ^n - P }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \bigg\lgroup 1 + \dfrac{25}{100} \bigg\rgroup ^3 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \bigg\lgroup 1 + \cancel\dfrac{25}{100} \bigg\rgroup ^3 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \bigg\lgroup 1 + 0.25 \bigg\rgroup ^3 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \bigg\lgroup 1.25 \bigg\rgroup ^3 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \times 1.25 \times 1.25 \times 1.25 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 25000 \times 1.953125 - 25000 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ C.I = 48828.125 - 25000 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\purple{\pmb{\frak{ Compound \; Interest = ₹ \; 23828.125 }}}}}}}}$

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✴ Therefore :

❛❛ Compound Interest on this sum of money is ₹ 23828.125 . ❜❜

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Answer 2

Step-by-step explanation:

The compound intrest for the third year is 25000 and find the principle if the rate of intrest is 25%.

₹ 23828 . 125