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Grade 10 Notes of Currency and Exchange Rate|| Compulsory Mathematics

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Currency is the official money of a country used for buying goods and services. When traveling or doing business abroad, Nepali Rupees must be exchanged for the foreign currency. The exchange rate is determined by the central bank, with a buying rate (bank buys foreign currency) and a selling rate (bank sells foreign currency). Selling rate is always higher than buying rate. Currency conversion can be done using Nepali Rupees as a bridge or by chain rule. Profit or loss occurs when the exchange rate changes during conversion.

1.Currency

Currency is the official money of a country used for buying and selling goods and services.

Each country has its own currency.
Nepal = Nepali Rupee (NRs)
USA = US Dollar ($)
China = Yuan
UK = Pound (£)

A country’s currency cannot usually be used directly in another country. It must be exchanged into the foreign country’s currency.

People working abroad send money to Nepal through banks or remittance services. The foreign currency is converted into Nepali Rupees at the current exchange rate.

Example:
Q: Can a Nepali student buy goods in the USA using Nepali Rupees?
Solution: No. The student must first exchange Nepali Rupees into US Dollars.

2.Exchange Rate

Exchange Rate is the value of one country’s currency in terms of another country’s currency.

In Nepal, exchange rates are determined by Nepal Rastra Bank.

Types of Exchange Rates:

Buying Rate
This is the rate at which the bank buys foreign currency from customers.

Selling Rate
This is the rate at which the bank sells foreign currency to customers.

The selling rate is always higher than the buying rate. The difference between them is the bank’s profit.

Formula:
Bank’s profit per unit = Selling rate − Buying rate

Example:
$1 = Rs.127.50 (buying)
$1 = Rs.128 (selling)

Profit per $1 = 128 − 127.50 = Rs.0.50
Profit on $500 = 0.50 × 500 = Rs.250

3.Currency Conversion

Currency conversion means changing money from one currency to another.

If direct conversion is not given, Nepali Rupees can be used as a bridge currency.

Basic Formula:

Foreign Currency = Amount in NRs ÷ Exchange Rate

If converting from foreign currency to NRs:

Amount in NRs = Foreign Currency × Exchange Rate

Example:
1 CAD = Rs.98.08
10 JPY = Rs.9.37

First find 1 JPY in NRs:
1 JPY = 9.37 ÷ 10 = Rs.0.937

Now convert CAD to JPY:
1 CAD = 98.08 ÷ 0.937 = 104.67 JPY

4.Profit and Loss in Currency Exchange

When exchange rates change, profit or loss may occur.

If the rate decreases after buying foreign currency, there is a loss.
If the rate increases after buying foreign currency, there is a profit.

Formula:
Profit or Loss = (Old Rate − New Rate) × Foreign Currency Amount

Example:
Rs.8,40,000 exchanged into pounds at 1£ = Rs.150

Pounds bought = 8,40,000 ÷ 150 = £5,600

After 5 days, rate decreases by 5%

5% of 150 = 7.5
New rate = 150 − 7.5 = Rs.142.50

New amount in Rs = 5,600 × 142.50 = Rs.7,98,000

Loss = 8,40,000 − 7,98,000 = Rs.42,000

5.Import and Export

In international trade, goods are bought and sold between countries.

Export means selling goods to another country.
Import means buying goods from another country.

When exporting goods, total selling price includes:

Total cost + Export tax + Profit

Currency conversion is needed to find the price in foreign currency.

Example:
900 Pashmina shawls cost Rs.4,000 each

Total cost = 900 × 4,000 = Rs.36,00,000

Export tax 5%
Tax = 5% of 36,00,000 = Rs.1,80,000
New total = 37,80,000

Profit 20%
Profit = 20% of 37,80,000 = Rs.7,56,000
Final amount = 45,36,000

If €1 = Rs.130

Selling price in Euros = 45,36,000 ÷ 130 = €34,892.30

6.Key Formulas

Currency conversion to foreign currency:
Foreign Currency = Amount in NRs ÷ Rate

Currency conversion to Nepali Rupees:
Amount in NRs = Foreign Currency × Rate

Bank’s profit per unit = Selling rate − Buying rate

Profit or Loss in exchange = (Old Rate − New Rate) × Foreign Currency

7. Practice Questions with Solutions

Q1: Rs.85,500 is exchanged into US Dollars at 1$ = Rs.126.35. How many dollars are received?

Step 1: Write the formula
Foreign Currency = Amount in NRs ÷ Rate

Step 2: Substitute values
= 85,500 ÷ 126.35

Step 3: Calculate
= 676.69

Answer: $676.69

Q2: Convert 250 AUD into Swiss Franc (CHF).
1 AUD = Rs.87.82
1 CHF = Rs.133.76

Step 1: Convert AUD into NRs
250 × 87.82 = Rs.21,955

Step 2: Convert NRs into CHF
21,955 ÷ 133.76 = 164.14

Answer: 164.14 CHF

Q3: A person sells Rs.2,00,000 to buy Australian Dollars at selling rate 1 AUD = Rs.88.23. How many AUD will he receive?

Step 1: Use formula
Foreign Currency = Amount in NRs ÷ Selling Rate

Step 2: Substitute
= 2,00,000 ÷ 88.23

Step 3: Calculate
= 2266.80

Answer: AUD 2266.80

Q4: A bank’s buying rate is Rs.127.50 and selling rate is Rs.128 for $1. Find the bank’s profit on $800.

Step 1: Profit per dollar
= 128 − 127.50
= Rs.0.50

Step 2: Total profit
= 0.50 × 800
= Rs.400

Answer: Rs.400

Q5: Rs.9,00,000 is exchanged into pounds at 1£ = Rs.150. After 10 days, the rate increases to Rs.155 per £. Find profit or loss.

Step 1: Find pounds bought
= 9,00,000 ÷ 150
= £6,000

Step 2: Convert back at new rate
= 6,000 × 155
= Rs.9,30,000

Step 3: Compare amounts
Profit = 9,30,000 − 9,00,000
= Rs.30,000

Answer: Profit of Rs.30,000

Q6: An exporter buys goods worth Rs.5,00,000. Export tax is 8% and profit is 25%. 1$ = Rs.125. Find selling price in dollars.

Step 1: Add tax
8% of 5,00,000 = 40,000
New total = 5,40,000

Step 2: Add profit
25% of 5,40,000 = 1,35,000
Final price in NRs = 6,75,000

Step 3: Convert to dollars
= 6,75,000 ÷ 125
= $5,400

Answer: $5,400

Q7: Salary in Qatar is 4,500 Riyal per month. 1 Riyal = Rs.36.50. Find salary in Nepali Rupees.

Step 1: Multiply by exchange rate
= 4,500 × 36.50

Step 2: Calculate
= Rs.1,64,250

Answer: Rs.1,64,250

Q8: $500 = £390 and £50 = Rs.7,547. How many dollars equal Rs.10,308?

Step 1: Find value of £1 in Rs
= 7,547 ÷ 50
= Rs.150.94

Step 2: Convert Rs to pounds
= 10,308 ÷ 150.94
= £68.30

Step 3: Use dollar to pound ratio
$500 = £390
$1 = 390 ÷ 500
= £0.78

Step 4: Convert pounds to dollars
= 68.30 ÷ 0.78
= $87.55

Answer: $87.55

Q9: Rs.15,24,000 is exchanged into US Dollars at 1$ = Rs.127. Later the rate becomes Rs.130. Find profit or loss if dollars are exchanged back.

Step 1: Convert NRs into dollars
= 15,24,000 ÷ 127
= $12,000

Step 2: Convert dollars back into NRs at new rate
= 12,000 × 130
= Rs.15,60,000

Step 3: Compare amounts
Profit = 15,60,000 − 15,24,000
= Rs.36,000

Answer: Profit of Rs.36,000

Q10: A person buys €3,000 at 1€ = Rs.145. After some time, the rate falls to Rs.138. Find profit or loss.

Step 1: Money spent
= 3,000 × 145
= Rs.4,35,000

Step 2: New value
= 3,000 × 138
= Rs.4,14,000

Step 3: Compare
Loss = 4,35,000 − 4,14,000
= Rs.21,000

Answer: Loss of Rs.21,000

Q11: A company imports goods worth $20,000. If 1$ = Rs.128 and customs tax is 12%, find total cost in NRs.

Step 1: Convert into NRs
= 20,000 × 128
= Rs.25,60,000

Step 2: Add 12% tax
12% of 25,60,000 = 3,07,200

Step 3: Total cost
= 25,60,000 + 3,07,200
= Rs.28,67,200

Answer: Rs.28,67,200

Q12: A Nepali worker earns 3,200 Riyal per month. 1 Riyal = Rs.36.50. Find his yearly income in NRs.

Step 1: Monthly income in NRs
= 3,200 × 36.50
= Rs.1,16,800

Step 2: Yearly income
= 1,16,800 × 12
= Rs.14,01,600

Answer: Rs.14,01,600

Q13: 1 CAD = Rs.102 and 1 AUD = Rs.85. Convert 750 CAD into AUD.

Step 1: Convert CAD to NRs
= 750 × 102
= Rs.76,500

Step 2: Convert NRs to AUD
= 76,500 ÷ 85
= 900 AUD

Answer: 900 AUD

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