If Rs. 2100 = €30 and Rs. 140 = ¥1, use the chain rule to calculate how many euros (€) will be equal to Rs. 525000.
2. After a 15% appreciation of the Nepali currency, Rs. 255000 can be exchanged to €2000. Find the exchange rate before appreciation (i.e., initial rate of Rs per euro).
3. A combined solid is made by attaching a hemisphere on top of a vertical cylinder. The height of the cylindrical part is 24 cm, and the radius of both the cylinder and the hemisphere is 8 cm.
(a) Draw the combined solid.
(b) Find the total surface area of the solid.
(c) Find the volume of the solid.
(d) Are the total surface area and curved surface area of the solid equal? Justify with reason.
4. The total height of a combined solid is 48 cm. The solid consists of a cylinder and a cone joined together. The ratio of the height of the cylinder to cone is 3:1, and the radius of the base is 6.5 cm.
(a) Find the height of each part and calculate the total surface area.
(b) Find the volume of the solid.
(c) Are the total surface area and curved surface area of the solid equal? Justify with reason.
5. It requires 700 concrete rings, each of diameter 4 ft and height 1.2 ft, to construct a large well. The cost of one ring is Rs. 1300. 3 workers can complete the work of placing the rings in 10 days, and the daily wage of one worker is Rs. 1400. (Use 1 cubic foot = 28.31 liters)
(a) What is the cost of the rings only?
construct the well?
Answer (1)
Set up a proportion to relate Rupees to Euros.
Cross-multiply to solve for the unknown number of Euros.
Perform the division to find the value of x .
Conclude that Rs. 525000 is equal to €7500 .
Explanation
Set up the proportion We are given that Rs. 2100 = €30. We want to find how many euros are equal to Rs. 525000. We can set up a proportion to solve this problem.
Write the proportion Let x be the number of euros equal to Rs. 525000. Then we can write the proportion: €30 R s .2100 = € x R s .525000
Cross-multiply Cross-multiply to solve for x : 2100 x = 30 × 525000
Solve for x x = 2100 30 × 525000 x = 2100 15750000 x = 7500
State the answer Therefore, Rs. 525000 is equal to €7500.
Examples
Currency conversion is a common task when traveling or conducting international business. For example, if you are planning a trip from Nepal to Europe, you need to convert Nepali Rupees (NPR) to Euros (€) to understand your budget in local currency. Knowing the exchange rate, you can calculate how many euros you will receive for a certain amount of rupees, helping you manage your expenses effectively. This conversion ensures you have a clear understanding of your purchasing power while abroad, making your travel planning smoother and more informed.
