Given below is the data pertaining to four movies which have collected gross revenues in domestic and international markets in Million USD ($). Arrange them in ascending order based on the ratios of their international versus domestic gross revenues. | | | | | |---|---|---|---| | A. | Avengers - | Domestic 623.4 | International 888.4 | | B. | The Darknight - | Domestic 448.1 | International 632.9 | | C. | Skyfall - | Domestic 304.2 | International 804.1 | | D. | Ice Age CD - | Domestic 161.3 | International 714.0 | Choose the correct answer from the options given below:
Solution
✅ Correct Option: 3
For each movie find $\dfrac{\text{International}}{\text{Domestic}}$. | Movie | Domestic | International | Ratio | |---|---|---|---| | A. Avengers | 623.4 | 888.4 | $\dfrac{888.4}{623.4}\approx1.43$ | | B. The Darknight | 448.1 | 632.9 | $\dfrac{632.9}{448.1}\approx1.41$ | | C. Skyfall | 304.2 | 804.1 | $\dfrac{804.1}{304.2}\approx2.64$ | | D. Ice Age CD | 161.3 | 714.0 | $\dfrac{714.0}{161.3}\approx4.43$ | C and D are clearly the two biggest, so only A and B are close. Cross multiply to be sure: $888.4\times448.1=398092.04$ $632.9\times623.4=394549.86$ The first product is larger, so A's ratio is bigger than B's. Ascending order: $B<A<C<D$