Question

Find the time it will take for ₹5660 to amount to ₹7641 if the sum is invested at 10% p.a. simple interest.

Answer 1

Given :

• Principal = ₹ 5660
• Amount = ₹ 7641
• Rate = 10%

Find :

• Time = ?

Solution :

We Know : Interest = P ༝ R ༝ T/₁₀₀

• P denotes for Principal.
• R denotes for Rate.
• T denotes for Time.

Note : But there are not given interest and time.

So, We first find Interest.

• Amount = Principal + Interest

➝ 7641 = 5660 + Interest

➝ Interest = 7641 - 5660

➝ Interest = 1981

• Now, we know the interest so we can easily find time.

❯ Principal = ₹ 5660

❯ Rate = 10%

❯ Interest = 1981

• Now , We know the formula of : Time = 100 ༝ I/ P ༝ R

⟹ Time = ¹⁰⁰ ༝ ¹⁹⁸¹/₅₆₆₀ ༝ ₁₀

⟹ Time = 3.5

∴ Hence, the Time is 3.5.

━━━━━━━━━━━━━━━━━━━━━━━━━

⋆ Now, We Have To Proved :

• Interest = P ༝ R ༝ T/₁₀₀

▪ Interest = 1981

▪ Principal = 5660

▪ Rate = 10%

▪ Time = 3.5

↦ 1981 = 5660 ༝ 10 ༝ 3.5/₁₀₀

↦ 1981 = 1,98,100/₁₀₀

↦ 1981 = 1981

⋆ Hence Proved ! ⋆

━━━━━━━━━━━━━━━━━━━━━━━━━