The given pie chart shows the expenditure by a state government on various sports during a particular year. Cricket 22% | Basketball 17% | Tennis 14% | Golf 10% | Hockey 11% | Chess 11% | Football 15% If the total amount spent on tennis and football is ₹1,45,000, then the total amount (in ₹) spent on all the given sports is:

- (a)3,10,000
- (b)5,00,000
- (c)4,50,000
- (d)4,10,000
Answer
Why
Correct — B. The pie chart labels each sport in per cent, so read off the two named slices and add them.
Tennis = 14%, Football = 15%, together 29%
29% of the total = ₹1,45,000
1% = 1,45,000 ÷ 29 = ₹5,000
Total = 5,000 × 100 = ₹5,00,000 → option (b)
Why the others are wrong
- (a)3,10,000 — Test it back: 29% of ₹3,10,000 is ₹89,900, nowhere near the ₹1,45,000 the stem gives for tennis and football together.
- (c)4,50,000 — 29% of ₹4,50,000 is ₹1,30,500, ₹14,500 short of the stated ₹1,45,000.
- (d)4,10,000 — 29% of ₹4,10,000 is ₹1,18,900. One multiplication rules the option out.
Concept
A pie chart's slices are percentages of one unknown whole, so a single rupee figure attached to a known percentage fixes the entire chart. Find the value of 1% and every other slice follows from it.
The slices here are cricket 22, basketball 17, football 15, tennis 14, chess 11, hockey 11 and golf 10. They add to 100, which is the reading worth confirming before any arithmetic starts.
This chart labels its slices in percentages. The pie at 18 Sep 2024, 12:30, Quant Q.11 labels its slices in degrees instead, where 1% is 3.6° and every reading has to be divided by 3.6 before it means anything.
Check the label style before you compute — the two look identical at a glance.
Key facts
- Tennis at 14% and football at 15% are together 29% of the expenditure.
- ₹1,45,000 for 29% makes 1% worth ₹5,000, so the whole is ₹5,00,000.
- The seven slices shown are cricket 22, basketball 17, football 15, tennis 14, chess 11, hockey 11 and golf 10.
Study next
Common traps
- Dividing ₹1,45,000 by 14 or by 15 alone instead of by their sum.
- Misreading the low-contrast golf and chess labels — the seven slices must total 100%.
- Ticking the ₹1,45,000 relationship itself rather than the total the question asks for.
SSC holds the frame and moves the unknown.
At Quant Q.23 of the 12 Sep 2024, 12:30 sitting a study-time pie gives English as 3 hours and asks for mathematics, and at 18 Sep 2024, 12:30, Quant Q.11 the slices are labelled in degrees and two groups of sports are compared.
Related PYQs
No directly related past PYQ was found.