Math Problem Statement
Solution
The image you uploaded contains mathematical and financial problems related to compound interest, depreciation, and exchange rates. Let me transcribe the text, interpret the problems, and provide solutions:
Problems Identified in the Image:
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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.
- Tasks:
a. Write the formula to calculate compound growth/depreciation.
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Problem 2: Find the annual rate of compound interest offered by the bank.
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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?
- Tasks:
a. Calculate the new exchange rate.
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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
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