Question

Kate and Jamie went for shopping for a pair of jeans. Kate bought a pair of jeans that was priced at $$50$ and came with a $10$% discount. Jamie on the other hand, bought a pair of jeans that was priced at $$60$ but came with a $25$% discount. Who paid more?

• A. Kate
• B. Jamie
• C. Both paid equal amounts
• D. None of the above

Answer 1

The correct option is C Both paid equal amounts

Kate's case$\Rightarrow$
Rate of discount $=10$%
Total discount $=10$% of $50$
$=\frac{10}{100}\times 50$

$=$ $ $5$
Amount paid for pair of jeans $=$ price of pair jeans $-$ total discount
$=50-5$
$=$ $ $45$
Jamie's case $\Rightarrow$
Rate of discount $=25$%
Total discount $=25$% of $60$

$=\frac{25}{100}\times 60$

$=$ $ $15$
Amount paid for pair of jeans $=$ price of pair jeans $-$ total discount
$=60-15$
$=$ $ $45$
Both had paid equal amounts for their pair of jeans.