Question

Find the principle amount that gives a simple interest of .1770 at 7 ½ years at 8% rate per year Plz answer it quickly
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Answer 1

Given

• Interest = ₹ 1770
• Time = 7½ Years ( 15/2 Years)
• Rate = 8%

Solution:

Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money.

The Formula for simple interest helps you find the interest amount as:-

$\maltese \ {\gray{\large{\pmb{\boxed{\sf{ Interest_{(Simple)} = \dfrac{P \times R \times T}{100} }}}}}}$

Where as:-

• P = Principal
• R = Rate
• T = Time

Now, We can find Principal by applying this Formula in suitable places as:-

Let the Principal be ₹ x

$\colon\implies{\sf{ SI = \dfrac{PRT}{100} }} \\ \\ \\ \colon\implies{\sf{ 1770 = \dfrac{x \times 8 \times \dfrac{15}{2} }{100} }} \\ \\ \\ \colon\implies{\sf{ 1770 = \dfrac{x \times \cancel{8} \times \cancel{15} }{ \cancel{100} \times \cancel{2} } }} \\ \\ \\ \colon\implies{\sf{ 1770 = \dfrac{x \times \cancel{4} \times 3}{ \cancel{20} } }} \\ \\ \\ \colon\implies{\sf{ 1770 = \dfrac{x \times 3}{5} }} \\ \\ \\ \colon\implies{\sf{ \cancel{1770} \times 5 = \cancel{3} \ x }} \\ \\ \\ \colon\implies{\sf{ x = 590 \times 5}} \\ \\ \\ \colon\implies{\pmb{\boxed{\mathfrak\pink{x = 2950 }}}}$

Hence,

• The Principal of the transaction is ₹ 2950

Answer 2

Step-by-step explanation:

Hope you understood. If you don't understand ask me.