For City-A, if the total number of males who passed in Arts is 2480, then what is the difference between the number of students who passed in Commerce and that in Science ?
- AOption (a)
600
- BOption (b)
1000
- COption (c)
1400
- DOption (d)
1800
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Correct answer
1800
Why this answer is correct
Given:
Total number of males who passed in Arts for City A = 2480
Ratio of male to female in arts = 31:14
Ratio of Arts: Science: Commerce in City A = 2:4:5
Formula used:
Number of students passed in each stream = (Total males in Arts) × (Ratio of stream) / (Total ratio sum)
Difference = Number of students passed in Commerce - Number of students passed in Science
Calculation:
Ratio of male to female in arts = 31:14
Number of students who passed in arts = 2480 × (31 + 14)/31 = 3600
Total ratio sum = 2 + 4 + 5 = 11
Number of students passed in Commerce:
⇒ Commerce = (3600 × 5) / 2 = 9000
Number of students passed in Science:
⇒ Science = (3600 × 4) / 2 = 7200
Difference:
⇒ Difference = 9000 - 7200 = 1800
∴ The difference between the number of students who passed in Commerce and that in Science is 1800.