Find the amount and the compound interest on ₹ 4,000 in 2 years, if the rate of interest for first year is 10% and for the second year is 15%.

Sure, let's solve this step by step.

Step 1: Calculate the interest for the first year. The formula for simple interest is (Principal * Rate * Time)/100. So, for the first year, the interest is (4000 * 10 * 1)/100 = ₹400.

Step 2: Add the interest for the first year to the principal to get the new principal for the second year. So, the new principal is 4000 + 400 = ₹4400.

Step 3: Calculate the interest for the second year. Using the same formula, the interest for the second year is (4400 * 15 * 1)/100 = ₹660.

Step 4: Add the interest for the second year to the principal to get the final amount. So, the final amount is 4400 + 660 = ₹5060.

Step 5: Calculate the total compound interest. The compound interest is the final amount minus the original principal. So, the compound interest is 5060 - 4000 = ₹1060.

So, the amount after 2 years is ₹5060 and the compound interest is ₹1060.