Pie chart given below shows the percentage distribution of marks obtained in maths out of total marks obtained by five students (i.e., A, B, C, D and E) of a class in math. There are only three subjects in class i.e. (Hindi, English and Math) .

What is the ratio of marks obtained by A to D & C together in math out of total marks obtained by five students in math?

The correct answer is 45:64.

Step-by-step Explanation:

From the provided pie chart, we can read the percentage distribution of marks obtained in math by five students (A, B, C, D, and E):

• Student A (Red slice) = 22.5%
• Student B (Yellow slice) = 30.5%
• Student C (Grey slice) = 14%
• Student D (Green slice) = 18%
• Student E (Blue slice) = 15%

Step 1: Calculate the combined percentage of marks obtained by D & C together:

$\text{Percentage for (D + C)}=18\%+14\%=32\%$

Step 2: Find the ratio of marks obtained by A to (D & C) together:

$\text{Ratio of A to (D + C)}=22.5:32$

To write this ratio in simple whole number terms, multiply both numbers by 2 to clear the decimal:

$\text{Ratio}=(22.5\times 2):(32\times 2)=45:64$

Thus, the required ratio of marks obtained by student A to students D & C together is 45:64.