Question

If Tanvi gives an interest of Rs40 for one year at 5%rate p.a. What is the sum she has borrowed​

Answer 1

Answer:

• She has borrowed Rs 800.

Step-by-step explanation:

Given that:

• Time = 1 years
• Rate of interest = 5% per annum
• Simple Interest = Rs 40

To Find:

• What is the sum she has borrowed?

Formula used:

• SI = (P × R × T)/100

Where,

• SI = Simple interest
• P = Principal/Sum
• R = Rate of interest
• T = Time

Finding the sum:

⟶ SI = (P × R × T)/100

Substituting the values.

⟶ 40 = (P × 5 × 1)/100

⟶ 40 = 5P/100

⟶ 5P = 40 × 100

⟶ 5P = 4000

⟶ P = 4000/5

⟶ P = 800

∴ The Sum Tanvi has borrowed = Rs 800

Answer 2

Answer:

$\large \underline\red{\sf \pmb{Given}}$

• ➛ Simple Interest = Rs.40
• ➛ Time = 1 year
• ➛ Rate of Interest = 5%

$\large \underline\red{\sf \pmb{To \: Find }}$

• ➛ What is the sum she has borrowed

$\large \underline\red{\sf \pmb{Using \: Formula }}$

$\circ\underline{ \boxed {\sf{S.I = \dfrac{P \times R \times T}{100} }}}$

Where

• ➟ S.I = Simple Interest
• ➟ P = Principle
• ➟ R = Rate of Interest
• ➟ T = Time

$\large \underline\red{\sf \pmb{Solution }}$

$\implies {\sf{S.I = \dfrac{P \times R \times T}{100} }}$

• Substituting the values

$\implies {\sf{40 = \dfrac{P \times 5 \times 1}{100} }}$

$\implies {\sf{40 = \dfrac{5P }{100} }}$

$\implies {\sf{ {5P } =40 \times 100}}$

$\implies {\sf{ {P } = \cancel\dfrac{4000}{5} }}$

$\implies {\bf \red{ {P } =Rs. 800}}$

• ➛ Henceforth,The Tanvi has borrowed 800 rupees..

$\large \underline\red{\sf \pmb{Know \: More }}$

★ Formula of Principle(P) if Amount and Interest given

• $: \implies\sf \purple{P=Amount - Interest}$

★ Formula of Principle (P) if Interest,time and rate given

• $: \implies\sf \purple{P = \dfrac{Interest \times 100 }{Time \times Rate} }$

★ Formula of Principle (P) if amount,time and rate given

• $: \implies\sf \purple{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)} }$

★ Formula of Amount if Principle (P) and Interest (I) given

• ${: \implies \sf \purple{Amount = Principle + Interest }}$