Question

Rahul spends 10 percent of his weekly allowance on Monday. On Wednesday he spends 1/3 of the remainder. What percent of his allowance is left at the end of Wednesday?

Answer 1

Answer:

60%

Step-by-step explanation:

Let X be the total amount of Rahul's allowance.

Amount remaining after Monday's expenses can be calculated as:

$Remaining \ Amount=X-10\%X\\\\=X-0.1X\\\\=0.9X$

We then subtract 1/3 from this remaining amount to determine his final balance:

$Balance=0.9X-\frac{1}{3}(0.9X)\\\\=0.9X-0.3X\\\\\\=0.6X\times 100%\\\\\\=60\%$

Hence, Rahul has 60% left after end of Wednesday.