The following pie-chart shows the distribution of students at graduate level in different institutes in a town.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748532932/aptidude_questions/qrrxnnowwp9smthknxfb.png)

The percentages are: A - 17%, N - 12%, P - 12%, Q - 13%, R - 17%, B - 14%, T - 15%. If the total number of students at the graduate level is 246,000, then how many students of institutes A and B are studying at graduate level?

Question

The following pie-chart shows the distribution of students at graduate level in different institutes in a town.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748532932/aptidude_questions/qrrxnnowwp9smthknxfb.png)

The percentages are: A - 17%, N - 12%, P - 12%, Q - 13%, R - 17%, B - 14%, T - 15%. If the total number of students at the graduate level is 246,000, then how many students of institutes A and B are studying at graduate level?

Accepted Answer

Step 1: Total number of students = 246,000
Step 2: Percentage of students in institute A = 17%
Step 3: Percentage of students in institute B = 14%
Step 4: Total percentage for A and B = 17% + 14% = 31%
Step 5: Number of students in A and B = 31% of 246,000 = (31/100) * 246,000 = 0.31 * 246,000 = 76,260
Therefore, the total number of students studying at graduate level in institutes A and B is 76,260.

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