Avinash borrowed \( ₹ 32,000 \) from his friend Gaurav at the rate of \( 8 \% \) per annum simple interest for 3 years, He lent this money to Vivek at the same rate but compounded annually. Find hais gafter 3 years. Kamala borrowed \( ₹ 36,400 \) from a Bank to buy a scooter at a rate of \( 15 \% \) p.a. compounded yearly. What

Sure, let's tackle both problems step by step. --- ### **Problem 1: Avinash's Gain Calculation** **Given:** - **Principal (P):** ₹32,000 - **Interest Rate (R):** 8% per annum - **Time (T):** 3 years **Avinash's Borrowing (Simple Interest):** Avinash borrows ₹32,000 from Gaurav at **simple interest (SI)**. The formula for Simple Interest is: \[ \text{SI} = \frac{P \times R \times T}{100} \] Calculating the interest: \[ \text{SI} = \frac{32,000 \times 8 \times 3}{100} = \frac{768,000}{100} = ₹7,680 \] **Total Amount to be Repaid to Gaurav:** \[ \text{Total} = P + \text{SI} = 32,000 + 7,680 = ₹39,680 \] --- **Avinash's Lending (Compound Interest):** Avinash lends the same ₹32,000 to Vivek at **compound interest (CI)** annually at the same rate. The formula for Compound Interest is: \[ A = P \times (1 + \frac{R}{100})^T \] Calculating the amount after 3 years: \[ A = 32,000 \times \left(1 + \frac{8}{100}\right)^3 = 32,000 \times (1.08)^3 \] \[ (1.08)^3 = 1.259712 \] \[ A = 32,000 \times 1.259712 \approx ₹40,310.78 \] **Total Interest Received from Vivek:** \[ \text{Interest} = A - P = 40,310.78 - 32,000 = ₹8,310.78 \] --- **Avinash's Net Gain:** \[ \text{Net Gain} = \text{Interest Received} - \text{Interest Paid} = 8,310.78 - 7,680 = ₹630.78 \] **Approximate Net Gain:** ₹631 after 3 years. --- ### **Problem 2: Kamala's Loan Details** **Given:** - **Principal (P):** ₹36,400 - **Interest Rate (R):** 15% per annum - **Compounding:** Yearly **Incomplete Information:** It seems like the question for Kamala is incomplete. To provide a comprehensive answer, additional information is needed, such as: - **Time Period (T):** Number of years for the loan. - **Specific Query:** Are you asking for the total amount to be repaid, the total interest, monthly installments, etc.? **Please provide the complete question or the missing details**, and I'll be happy to assist you further! --- Feel free to reach out with more information or any other queries you might have!