Data Interpretation Discussion

**Common Information**

Many Asian countries including China, Japan, Kazakhstan, India, Singapore, Malaysia and Jordon participated in one or more sporting events held at the 2006 Asian Games. In each sporting event at least three countries participated.

At the end of each sporting event, the country finishing at the first, the second and the third positions were awarded a gold, a silver and a bronze medal respectively. The following bar graph shows distribution of the three types of medals.

In this graph, the parts marked by "Data Not Available" may have belonged to one or more of all the participating countries.

Q. |
The total number of medals won by India was at least what percentage of the total number of medals won by China? |

✖ A. |
31.12% |

✖ B. |
75.80% |

✔ C. |
62.24% |

✖ D. |
39.50% |

✖ E. |
Cannot be determined |

**Solution:**

Option(**C**) is correct

We will assume that all the silver medals won by "others" were won by China only.

Number of medals won by India:

$= \dfrac{N}{8} + \dfrac{9N}{50} +\dfrac{33N}{200}$

$=\dfrac{47N}{100}$

Number of medals won by China:

$=\dfrac{3N}{8} +\dfrac{3N}{20} +\dfrac{23N}{100}$

$=\dfrac{151N}{200}$

⇒ Number of medals won by India is at least:

$= \dfrac{94}{151}$

$= 62.24\%$ of the number of medals won by China.