Math Problem Statement

Ravi has ₹1,20,000. He purchased a motorcycle for ₹20,000 and a land for ₹1,00,000. The motorcycle's value depreciates at a compound rate of 10% for 2 years, and the land's value increases at a compound rate of 12% for 2 years. What will be their values after 2 years? Find the total value. Also, find the annual compound interest rate for a bank and solve an exchange rate problem involving rupee devaluation.

Solution

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Problems Identified in the Image:

  1. Problem 1: Ravi has ₹1,20,000. He purchased a motorcycle for ₹20,000 and a land for ₹1,00,000. The motorcycle's value depreciates at a compound rate of 10% for 2 years, and the land's value increases at a compound rate of 12% for 2 years.

    • Tasks: a. Write the formula to calculate compound growth/depreciation.
      b. Find the price of the motorcycle and the land after 2 years.
      c. Calculate the total price of the motorcycle and land after 2 years.
  2. Problem 2: Find the annual rate of compound interest offered by the bank.

  3. Problem 3: A merchant exchanged ₹7,06,062 with 1,000 pounds sterling (£) at the rate of £1 = ₹186.11. After one week, the Nepalese rupee was devalued by 2%.

    • Tasks: a. Calculate the new exchange rate.
      b. What will the value of the pound sterling (£) be after devaluation?

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Math Problem Analysis

Mathematical Concepts

Compound Interest
Depreciation
Exchange Rates

Formulas

Compound Value = Principal × (1 + Rate/100)^Time
New Exchange Rate = Old Exchange Rate × (1 ± Rate of Change)

Theorems

Compound Interest Formula
Depreciation Calculation
Exchange Rate Adjustment

Suitable Grade Level

Grades 10-12