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 questions based on it. Various Expenditures (in percentage) Incurred in Publishing a Book
The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book?
- A.
Rs. 36
- B.
Rs. 37.50
- C.
Rs. 42
- D.
Rs. 44.25
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Correct answer: B
When a pie-chart shows each expenditure component as a percentage of the Cost Price (C.P.), and the Marked Price (M.P.) is given as some percentage above C.P., the standard method is: first convert M.P. back to C.P. using M.P. = (100 + mark-up%) % of C.P.; then apply the required sector's percentage to this recovered C.P. (never to the M.P.) to get that component's rupee value.
From the pie-chart, Paper Cost is shown as 25% of the Cost Price (C.P.).
The book is marked 20% above C.P., so M.P. = 120% of C.P.
Given M.P. = Rs. 180, set up 120 : 100 :: 180 : C.P.
Solving, C.P. = (100 x 180) / 120 = Rs. 150.
Paper Cost = 25% of C.P. = (25 x 150) / 100 = Rs. 37.50.
Cross-check: the six pie-chart shares (Promotion 10% + Transportation 10% + Printing 20% + Paper 25% + Binding 20% + Royalty 15%) add up to 100%, so the chart is internally consistent. Also, a 20% mark-up on a Cost Price of Rs. 150 is Rs. 30, and Rs. 150 + Rs. 30 = Rs. 180, which matches the given Marked Price - independently confirming C.P. = Rs. 150.
Hence, the cost of the paper used in a single copy of the book is Rs. 37.50.