Correct Answer - Option 4 : 45.55%
Given:
Ratio of number of boys and number of girls eligible for the scholarship test is 4 ∶ 5.
60% of eligible boys and 50% of eligible girls attend the test.
Concepts used:
Percentage of eligible students who did not attend the test = Number of eligible students who did not attend the test/Total number of eligible students × 100
Calculation:
Ratio of number of boys and number of girls eligible for the scholarship test is 4 ∶ 5.
Let the number of eligible boys be 4x and number of eligible girls be 5x.
60% of eligible boys and 50% of eligible girls attend the test.
⇒ Number of eligible boys who attended the test = 60% of 4x = 12x/5
⇒ Number of eligible girls who attended the test = 50% of 5x = 5x/2
Total number of boys and girls who attended the test = 12x/5 + 5x/2
⇒ 49x/10
Number of eligible boys and girls who did not attend the test = (4x + 5x) - 49x/10
⇒ 41x/10
Percentage of eligible students who did not attend the test = Number of eligible students who did not attend the test/Total number of eligible students × 100
⇒ Percentage of eligible students who did not attend the test = (41x/10)/9x × 100
⇒ 45.55%
∴ 45.55% of the total eligible students did not attend the scholarship test.
