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QuestionHow much is a Tata Nano costing in USD if it’s 2,057 GBP, with 1 GBP = 83.11 IR and 1 USD = 71.44 IR? Round to the nearest dollar.

Studdy Solution

STEP 1

Assumptions1. The cost of the Tata Nano in the United Kingdom is,057 Britishounds (GBP) . The conversion rate from Britishounds to Indian Rupees is1 GBP =83.11 IR3. The conversion rate from U.S. Dollars to Indian Rupees is1 USD =71.44 IR4. We are asked to find the cost of the Tata Nano in U.S. dollars using dimensional analysis5. We are rounding our answer to the nearest dollar

STEP 2

First, we need to convert the cost of the Tata Nano from Britishounds to Indian Rupees. We can do this by multiplying the cost in Britishounds by the conversion rate from Britishounds to Indian Rupees.
Cost in Indian Rupees=Cost in British ounds×Conversion rate from British ounds to Indian RupeesCost\, in\, Indian\, Rupees = Cost\, in\, British\,ounds \times Conversion\, rate\, from\, British\,ounds\, to\, Indian\, Rupees

STEP 3

Now, plug in the given values for the cost in Britishounds and the conversion rate from Britishounds to Indian Rupees to calculate the cost in Indian Rupees.
Cost in Indian Rupees=2,057 GBP×83.11 IR/GBPCost\, in\, Indian\, Rupees =2,057\, GBP \times83.11\, IR/GBP

STEP 4

Calculate the cost in Indian Rupees.
Cost in Indian Rupees=2,057 GBP×83.11 IR/GBP=170,881.27 IRCost\, in\, Indian\, Rupees =2,057\, GBP \times83.11\, IR/GBP =170,881.27\, IR

STEP 5

Next, we need to convert the cost from Indian Rupees to U.S. Dollars. We can do this by dividing the cost in Indian Rupees by the conversion rate from U.S. Dollars to Indian Rupees.
Cost in U.S. Dollars=Cost in Indian Rupees/Conversion rate from U.S. Dollars to Indian RupeesCost\, in\, U.S.\, Dollars = Cost\, in\, Indian\, Rupees / Conversion\, rate\, from\, U.S.\, Dollars\, to\, Indian\, Rupees

STEP 6

Now, plug in the values for the cost in Indian Rupees and the conversion rate from U.S. Dollars to Indian Rupees to calculate the cost in U.S. Dollars.
Cost in U.S. Dollars=170,881.27 IR/71.44 IR/USDCost\, in\, U.S.\, Dollars =170,881.27\, IR /71.44\, IR/USD

STEP 7

Calculate the cost in U.S. Dollars.
Cost in U.S. Dollars=170,881.27 IR/71.44 IR/USD=2,392.56 USDCost\, in\, U.S.\, Dollars =170,881.27\, IR /71.44\, IR/USD =2,392.56\, USD

STEP 8

Finally, we need to round our answer to the nearest dollar.Cost in U.S. Dollars=$2,393Cost\, in\, U.S.\, Dollars = \$2,393The cost of a Tata Nano in U.S. dollars is \$2,393.

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