The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie chart and answer the question that follows. Pie chart shows the percentage distribution of the expenditure incurred in publishing a book Printing cost — 25% Promotion cost — 14% Binding — 16% Paper cost — 20% Transportation cost — 10% Royalty — 15% If the expenditure on royalty in publishing certain number of books be ₹43,500, then what is the combined expenditure (in ₹) on transportation, binding and printing?

Correct — D. Read the three slices the question names: transportation 10%, binding 16%, printing 25% — 51% together.

Royalty is 15% and is worth ₹43,500, so price one per cent:
1% = 43,500 ⁄ 15 = ₹2,900

Now scale to 51%:
51 × 2,900 = ₹1,47,900 → option (d), the figure reading 1,47,900.

Why the others are wrong

• (a)
  1,79,900 ÷ 2,900 = 62.03, not a whole per cent. Every slice on this chart is a whole percentage, so no group of them can total this amount.
• (b)
  1,97,900 is 68.24% of the ₹2,90,000 budget — more than the 51% the question asks for, and again not a whole number of per cents.
• (c)
  1,79,400 ÷ 2,900 = 61.86, so it too matches no slice group. Adding paper (20%) to the three named slices would give 71%, or ₹2,05,900.

One slice with a rupee value prices the whole chart. Royalty is 15% and is worth ₹43,500, so one per cent is ₹2,900 and the full publishing budget is ₹2,90,000.

After that, any group of slices is just its percentage sum × ₹2,900. There is no need to compute each of the three separately and add.

Note the labels are percentages, not degrees. Where SSC labels slices in degrees you divide the angle by 360 rather than by 100, and the same question then runs quite differently.

Key facts

• Royalty at 15% = ₹43,500 makes one per cent worth ₹2,900 and the whole budget ₹2,90,000.
• Transportation 10%, binding 16% and printing 25% total 51% of the budget.
• 51 × ₹2,900 = ₹1,47,900.
• The six printed slices are printing 25, promotion 14, binding 16, paper 20, transportation 10 and royalty 15.

Common traps

• Dividing ₹43,500 by 100 instead of by 15, which prices one per cent at ₹435.
• Picking up promotion (14%) in place of transportation (10%) and totalling 55%.
• Answering with the whole budget, ₹2,90,000, instead of the three named slices.

No directly related past PYQ was found.