Question

kate purchased a bicycle for $1150. after using it for a year, she sold it for $950, what was her percentage gain or loss ? 17 9/23% gain 17 9/23% loss 35 3/4% loss 50% loss

Answer 1

$<b><u><i> Heya mate!!! Here's for answer</i></u></b>$
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$\huge{Given}$

Kate purchased a bicycle for $1150. Then\: sold\: it\: for\: $950

$\huge{To\: Find}$

Her gain or loss percentage.

$\huge{Solution}$

Here,

Cost Price (C.P.) = $1150

Selling price (S.P.) = $950.
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Now,

C.P. > S.P.
Hence, Kate faces a loss.

Now,

Loss

= C.P. - S.P.

= $1150 - $950

= $200

Hence, Kate's loss is $200.
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Then, Loss %

= Loss/C.P. × 100

$= \frac{200}{1150} \times 100\%$

$= \frac{20}{23} \times 20\%$

$= \frac{400}{23} \%$

$= 17 \frac{9}{23} \%$

=17(9/23) %
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$\mathfrak{\blue{Finally,}}$

Your answer is

$\bold{\boxed{\mathcal{\red{Option\: b\: =\: 17(9/23)\%}}}}$
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$\huge{\bold{\mathcal{\green{Thank\: you}}}}$