Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I am having difficulty solving the following problem

A toy store regularly sells all stocks at a discount price of 20% to 40%. If an additional 25% were deducted from the discount price what would be the lowest possible price of a toy costing $\$16$ before any discount (ans=$7.20).

How would I solve this problem and what does "If an additional 25% were deducted from the discount price" mean here?

share|improve this question

2 Answers 2

up vote 2 down vote accepted

The toy has a label price of $\$16$. Since we're going for the lowest price we apply the $40\%$ discount .

$$ \$16.00 \times (1 - 0.40) = \$16.00 \times 0.60 = \$9.60 $$

We then apply the addition $25\%$ discount to this intermediate price, $\$9.60$.

$$ \$9.60 \times (1 - 0.25) = \$9.60 \times 0.75 = \$7.20 $$

share|improve this answer

a discount price of 20% means that a toy costing \$16 would now cost \$16*(1-0.20)=\$12.8. Similarly, a 40% discount would be \$16*(1-0.6) = \$9.60. So the lowest possible price with the %20-%40 discount would be \$9.60. This price is what they mean by the "discount price". If you deduct an additional 25 percent from this discount price of \$9.60, you would get \$9.60*(1-0.25)= \$7.20.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.