Question

The senior class spent $20$% of its budget on a big box of tomatoes. It then spent one-fourth of the remaining funds on a helium blimp. Finally, it spent $\frac{1}{3}$ of the remaining funds on an extra-large helicopter for the prom. Calculate the fraction of original funds not spent.

• A. $20$ $\%$
• B. $25$ $\%$
• C. $40$ $\%$
• D. $50$ $\%$
• E. $60$ $\%$

Answer 1

The correct option is C $40$ $\%$

Let the original fund be $100$ percent
$20\%$ of budget is spend on tomato so left over is $=$ $100-\frac{20}{100}\times 100=80$ percent.
Out of $80\%$ one fourth is spent on helium blimp
$\frac{1}{4}\times 80$ $=20\%$

So left over is $(80-20=60\%)$
Finally one third is spend on extra large helicopter so percentage spent is $\frac{1}{3}\times 60$ $=$ $20$ percent
Therefor original fund not spent is $60-20=40$ percent