The pie chart given below shows the expenditure (in percentage) of Aditya. The monthly income of Aditya is ₹54,000. How much does he spend (in ₹) on Food?

- (a)12,420
- (b)13,420
- (c)12,240
- (d)11,240
Answer
Why
Correct — A. The pie chart labels the Food slice 23%, and the stem states a monthly income of ₹54,000.
1% of 54,000 = ₹540
Food = 23 × 540
= ₹12,420 → option (a)
Check the chart before trusting any slice: 27 + 15 + 23 + 15 + 20 = 100, so nothing has been misread.
Why the others are wrong
- (b)13,420 — ₹13,420 is about 24.85% of ₹54,000, and no slice on this chart is 24.85%. It is ₹12,420 with the thousands digit raised by one — a transcription slip, not a calculation.
- (c)12,240 — ₹12,240 is the digits of ₹12,420 with the 4 and the 2 transposed. It works out to about 22.67% of ₹54,000, which matches no slice — Food is 23%.
- (d)11,240 — ₹11,240 is about 20.81% of ₹54,000 — close to the Miscellaneous slice of 20% but not equal to it, and the question asks for Food. Miscellaneous itself would be ₹10,800.
Concept
A pie chart splits a stated total into percentage parts, so once you have read the right slice the question is one multiplication.
Fix the unit first: 1% of ₹54,000 is ₹540. Then Rent is 27 × 540 = ₹14,580, Food 23 × 540 = ₹12,420, Miscellaneous 20 × 540 = ₹10,800, and Fuel and Transport ₹8,100 each.
The labelled percentages must total 100; if they do not, the chart is labelled in degrees or a label has been misread. Questions comparing two slices need no income at all, because the total cancels in the ratio.
Every slice here carries its own printed percentage — Rent 27%, Transport 15%, Food 23%, Fuel 15%, Miscellaneous 20% — so nothing has to be measured off the drawing.
When SSC labels the slices in degrees instead, divide by 3.6 to convert each to a percentage before multiplying by the total.
Key facts
- On this chart Rent is 27%, Food 23%, Miscellaneous 20%, and Fuel and Transport 15% each — totalling 100%.
- 1% of ₹54,000 is ₹540, so any slice's rupee value is its percentage times 540.
- A slice of x% subtends 3.6x degrees at the centre, so the 23% Food slice covers 82.8°.
Study next
Common traps
- Reading the wrong slice — Fuel and Transport are both 15% here, and Food sits between them.
- Answering the percentage when the question asks for the rupee amount.
- Multiplying by 54,000 and then dividing by 100 as two separate steps, which invites a zero error.
SSC gives one chart with a stated total and asks for a single slice in rupees; the harder version asks for the ratio between two heads. This same shift also runs the conversion the other way — Quant Q.21 of this paper gives a production chart and asks for the central angle of one sector.
Related PYQs
No directly related past PYQ was found.