Consider the table given below and answer the following questions given below.…
2020
Consider the table given below and answer the following questions given below.
Ques: What is the difference between the number of academic books published by publishing houses A and D?
- A.
450
- B.
504
- C.
540
- D.
604
Show answer & explanation
Correct answer: C
Concept: For a publishing house whose books are split between academic and non-academic categories in a given ratio, the number of academic books equals the house's total books published multiplied by the academic term of the ratio, divided by the sum of both ratio terms.
Application:
House A published 28200 books in an academic-to-non-academic ratio of 7:3 (ratio terms sum to 10), so its academic books = 28200 x 7/10 = 19740.
House D published 31200 books in an academic-to-non-academic ratio of 8:5 (ratio terms sum to 13), so its academic books = 31200 x 8/13 = 19200.
Required difference = 19740 - 19200 = 540.
Cross-check: Cross-check: the non-academic books work out to 28200 x 3/10 = 8460 for house A and 31200 x 5/13 = 12000 for house D; each pair adds back to the house's published total (19740 + 8460 = 28200 and 19200 + 12000 = 31200), confirming the ratio splits, so the difference of 540 stands.