Question

calculate the amount and the compound interest on \\( \text{rs. } 4600 \\) in \\( 2 \text{ years} \\) when the rates of interest of successive years are \\( 10\\% \\) and \\( 12\\% \\) respectively.

meenal lends \\( \text{rs. } 75000 \\) at c.i. for \\( 3 \text{ years} \\). if the rate of interest for the first two years is \\( 15\\% \\) per year and for the third year it is \\( 16\\% \\), calculate the sum meenal will get at the end of third year.

calculate the compound interest for the second year on \\( \text{rs. } 8000 \\) invested for \\( 3 \text{ years} \\) at \\( 10\\% \\) per annum.

a man invested \\( \text{rs. } 46875 \\) at \\( 4\\% \\) per annum compound interest for \\( 3 \text{ years} \\). calculate: (i) the interest for the first year.

Explanation:

⚡ Using what you learned: compound interest

Step 1: First Year Interest

Calculate the interest for the first year:

$$ I_1 = 4600 \times \frac{10}{100} = 460 $$

Step 2: Second Year Principal

Find the principal at the start of the second year:

$$ P_2 = 4600 + 460 = 5060 $$

Step 3: Second Year Interest

Calculate the interest for the second year:

$$ I_2 = 5060 \times \frac{12}{100} = 607.2 $$

Step 4: Total Amount and Compound Interest

Calculate the final amount and total compound interest:

$$ A = 5060 + 607.2 = 5667.2 $$

$$ CI = 5667.2 - 4600 = 1067.2 $$

Answer:

Amount: \( \text{₹ } 5667.2 \)
Compound Interest: \( \text{₹ } 1067.2 \)