The following pie chart shows the percentage distribution of the expenditure…
2025
The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie chart and answer the question based on it.
Various Expenditures (in Percentage) Incurred in Publishing a Book
If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be the amount of royalty to be paid for these books?
- A.
Rs. 19,450
- B.
Rs. 21,200
- C.
Rs. 22,950
- D.
Rs. 26,150
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Concept: In a pie chart, each sector's percentage share is directly proportional to the rupee amount it represents out of the total expenditure. So for any two sectors, the ratio of their amounts equals the ratio of their percentages: Amount 1 : Amount 2 = Percentage 1 : Percentage 2. This lets us find one sector's amount directly from another sector's known amount, without first computing the grand total.
Application:
From the chart, Printing Cost = 20% and Royalty = 15% of the total expenditure.
Printing Cost of Rs. 30,600 corresponds to the 20% share.
Set up the proportion: Royalty : Printing Cost = 15 : 20.
So, Royalty = Rs. 30,600 x (15/20) = Rs. 22,950.
Cross-check: Since Printing Cost's 20% share equals Rs. 30,600, the total expenditure = 30,600 / 0.20 = Rs. 1,53,000. Royalty's 15% share of this total = 0.15 x 1,53,000 = Rs. 22,950 -- the same value, confirming the answer.