Question

11. Calculate the compound interest on 18,000 at
10% per annum in two years. without using formula ​

Answer 1

Answer:

• The compound interest is on the sum of money is Rs.1980

Step-by-step explanation:

Given :-

• Principal = 18,000
• Time = 2 years
• Rate of Interest = 10%

To Find :-

• The compound interest without using the formula

Solution :-

✰ Concept used,

Now, As we've been said to not use the direct formula to fin out the compound interest let's use the formula to find the simple interest repeatedly and find the compound interest

✰Formula to be used,

${\pink{\pmb{\bigstar{\underline{\boxed{\bf{S.I =\dfrac{P \times T \times R}{100}}}}}}}}$

✰Here,

• P Stands for Principal
• T Stands for Time
• R Stands for Rate

✰ Where,

• Principal Amount = 18,000
• Time period = 1 year
• Rate of Interest = 10%

✰ Substituting the values,

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

$\longrightarrow \sf S.I = \dfrac{180\cancel{00} \times 1 \times 10}{1\cancel{00}}$

$\longrightarrow {\pink{\underline{\boxed{\pmb{\tt{ S.I = 1800}}}}\purple\bigstar}}$

✰ Hence forth,

The interest of the first year is Rs.1800 now, let's add up the interest we found to the Principal amount and later find the interest for the second year using the same formula

✰ Adding up,

• New Principal = Principal + Interest
• New Principal = 18000 + 1800
• New Principal = Rs.19800

✰ Now,

• Principal Amount = 19800
• Time Period = 1 year
• Rate of interest = 10%

✰ Putting the values in the formula,

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

$\longrightarrow \sf S.I = \dfrac{198\cancel{00} \times 1 \times 10}{1\cancel{00}}$

$\longrightarrow {\pink{\underline{\boxed{\pmb{\tt{ S.I = 1980}}}}\purple\bigstar}}$

Therefore,

• The compound Interest on the sum of money is Rs.1980

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Answer 2

Answer:

$\Huge{\textbf{\textsf{{\color{Magenta}{A}}{\red{n}}{\purple{s}}{\pink{w}}{\blue{e}}{\green{r}}{\red{:}}{\purple{-}}{\color{pink}{-}}}}}$

1980