calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually​

2 thoughts on “calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually​”

1. Question:-

   • Calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually.

   To Find:-

   • Find the amount and the compound interest.

   Solution:-

   [tex]\tt\implies \: A = 10800 \times { ( \dfrac { 1 + 12.5 } { 100 } ) }^{ 3 } [/tex]

   [tex]\tt\implies \: A = 10800 \times {1.125 }^{ 3 } [/tex]

   [tex]\tt\implies \: A = 15377 [/tex]

   Now ,

   We have to find the compound Interest:-

   [tex]\tt\implies \: Interest = 15377 – 10800 [/tex]

   [tex]\tt\implies \: Interest = 4577 [/tex]

   Hence ,

   • Compound interest is 4577

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2. Answer:

   1. Amount = Rs 15377
   2. Compound interest = Rs 4577

   Step-by-step explanation:

   Given that:

   • Time = 3 years
   • Principal = Rs 10800
   • Rate of interest = 12.5% per annum

   To Find:

   1. Amount
   2. Compound interest

   Formula used:

   1. A = P(1 + R/100)ᵀ
   2. CI = A – P

   Where,

   • P = Principal
   • R = Rate of interest
   • T = Time
   • A = amount
   • CI = Compound interest

   Finding the amount:

   ⟶ A = 10800(1 + 12.5/100)³

   ⟶ A = 10800(1 + 0.125)³

   ⟶ A = 10800(1.125)³

   ⟶ A = 10800 × 1.125 × 1.125 × 1.125

   ⟶ A ≈ 15377

   ∴ Amount in compound interest = Rs 15377

   Finding the compound interest:

   ⟶ CI = 15377 – 10800

   ⟶ CI = 4577

   ∴ Compound interest = Rs 4577

   Reply