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Study the given pie chart and answer the following question.

Breakup (percentage-wise) of amount spent on different sports in 2021 in a school

SportShare of the amount spent
Cricket22.50%
Golf12%
Others12.50%
Basketball15%
Football18%
Hockey20%

Amount spent on cricket = ₹ 18,000

If the total amount spent on Basketball and Hockey is ₹ x more than the total amount spent on Football and Golf, then the value of x lies between:

  • A.3,600 and 3,800
  • B.3,800 and 4,200
  • C.4,200 and 4,400
  • D.4,400 and 4,600

Answer: B

The value of \(x\) lies between 3,800 and 4,200; it is exactly 4,000. Cricket is 22.5% and costs ₹ 18,000, so the total is \(\frac{18000}{0.225} = 80000\). Basketball and Hockey together are \(15\% + 20\% = 35\%\), which is 28,000. Football and Golf together are \(18\% + 12\% = 30\%\), which is 24,000. \[ x = 28000 - 24000 = 4000 \] The difference of 5 percentage points of 80,000 is 4,000, so only the interval 3,800 to 4,200 contains it.

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