Three different outlets sell the
same model of car. The price of the car from the
London outlet is 8251 pounds. The price of the car from the Japan
outlet is 950738 yen. The price of the car from the
Berlin outlet is 9174 euros. The exchange rates are as follows:
one pound is equal to 114.69 yen and one pound is equal to one euro 12. Which outlet is selling the car at
the lowest price? You must show your working out.
To help us decide which outlet is
selling the car at the lowest price, we first need to convert all the prices to the
same currency. Notice how we’ve been given the
conversion from pounds to Japanese yen and from pounds to euros. It makes sense then to change them
all into pounds to help us compare.
We are given that one pound is
equal to 114.69 yen. If we were converting from pounds
to yen, we would multiply by 114.69. Since we are actually converting
from yen back into pounds, then we’re going to divide this by 114.69. 950738 divided by 114.69 is
8289.6329. Since our answer is in pounds, we
should round to two decimal places. That tells us that 950738 yen is
the same as 8289 pounds and 63 pence.
Similarly, we’re told that one
pound is equal to one euro 12. This means if we were trying to
convert from pounds to euros, we would multiply by 1.12. Instead to change 9174 euros back
into pounds, we can divide by 1.12: 9174 divided by 1.12 is 8191.0714. Once again, we’ll round this to two
decimal places, giving us a value of 8191 pounds and seven pence.
We can see that the lowest price in
pounds is 8191 pounds and seven pence. So Berlin is selling the car at the