Directions: The following pie chart represents the amount spent on different sports by a school in a calendar year. If the amount spent on football is ₹ 9,000, answer the following questions :
₹ 48,000
The pie chart is fixed, so the first step is to find what one degree is worth after the change. Football occupies 45° and now stands for ₹ 18,000, giving \(\frac{18{,}000}{45} = 400\) rupees per degree.
Hockey occupies 100° and Basketball 20°, so together they cover \(100^\circ + 20^\circ = 120^\circ\).
Their combined spending is therefore \(120 \times 400 = 48{,}000\).
Hence, the combined amount spent on Hockey and Basketball is ₹ 48,000.
None of the above
Fix the scale from the datum given with the chart. Football covers 45° and stands for ₹ 9,000, so one degree is worth \(\frac{9{,}000}{45} = 200\) rupees.
Basketball covers 20°, so the amount spent on it is \(20 \times 200 = 4{,}000\).
The value ₹ 4,000 does not appear among the four figures offered, since the choices are ₹ 8,500, ₹ 6,500, ₹ 4,500 and ₹ 2,500.
Hence, since the computed amount ₹ 4,000 is not listed, the answer is None of the above.
\(\frac{4}{9}\)
A fraction of the total in a pie chart is simply the sector's angle divided by the whole circle, so no rupee figure is needed at all.
Cricket occupies 160°, and the full circle is 360°, so the fraction is \(\frac{160}{360}\).
Dividing numerator and denominator by 40 reduces this to \(\frac{4}{9}\).
Hence, the fraction of the total amount spent on Cricket is \(\frac{4}{9}\).
₹ 11,000
Football covers 45° and stands for ₹ 9,000, so one degree is worth \(\frac{9{,}000}{45} = 200\) rupees.
The question asks for a difference, so work with the difference in angles directly. Hockey covers 100° and Football 45°, a gap of \(100^\circ - 45^\circ = 55^\circ\).
That gap is worth \(55 \times 200 = 11{,}000\).
Hence, the extra amount spent on Hockey over Football is ₹ 11,000.
₹ 72,000
The whole pie chart represents the total spending on all the sports, so the total is simply the value of the complete 360°.
Football covers 45° and stands for ₹ 9,000, so one degree is worth \(\frac{9{,}000}{45} = 200\) rupees.
The total is therefore \(360 \times 200 = 72{,}000\).
A quick check confirms this: Football 45°, Hockey 100°, Cricket 160°, Tennis 35° and Basketball 20° add to exactly 360°, so nothing has been left out.
Hence, the total amount spent on all the sports is ₹ 72,000.
Similar Questions
Directions: The following table shows the number of candidates trained by five institutes and the training fee charged per candidate during a particular session. Study the table carefully and answer the questions that follow.
Institute Candidates Trained Fee per Candidate (₹) A 240 18,000 B 300 16,000 C 180 24,000 D 360 15,000 E 220 20,000 Institute D reduces the number of candidates trained by 20%, while increasing the fee per candidate by 25%. What will be the fee collected by Institute D after the changes ?
If Institute B increases its fee per candidate by 25%, while the number of candidates remains unchanged, what will be the new total fee collected by all five institutes ?
By how much does the weighted average training fee per candidate for institutes that trained 250 or fewer candidates exceed that for institutes that trained more than 250 candidates ?
What is the total fee collected by all five institutes ?
The combined fee collected by Institutes A and C is in what ratio to the combined fee collected by Institutes D and E ?
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 Who had the best score on either test?
Who had the most consistent scores on both tests?
Who had the least consistent scores on both tests?
Who had the poorest score on either test?
