A company was approved to spent a certain sum of money for an annual.

Solution

• A company spent \((\frac{1}{4})^{th}\) of the sum during the first quarter of the year, and
• \((\frac{1}{6})^{th}\) of the remainder was spent during the second quarter

• What percent is the sum of money that was left at the beginning of the third quarter more than that spent in the last two quarters

• Let the amount be 100x

o After 1st quarter, remaining amount = \(100x – \frac{100x}{4} = 75x\)
o After 2nd quarter, the remaining amount = \(75x – \frac{75x}{6} = 62.5x\)

• Amount remaining at the beginning of third quarter = 62.5x
• Amount spend in first two quarters = 100x – 62.5x = 37.5x
• Therefore, required percentage = \(\frac{(62.5 – 37.5)}{37.5} * 100 = 66.66%\)