Question

Find the cost price of an article, which is sold for rs.4050 at a loss of 10% . Also,find the new selling price of the article which must give a profit of 8%.

Answer 1

cp={100/(100-l)}×sp
={100/(100-10)}×4050
={100/90}×4050
=100×45
=₹4500
sp={(100+p)/100}×cp
={(100+8)/100}×4500
=108×45
=₹4860

Answer 2

First part of the question -
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Let the CP of the article be ₹x.

SP = ₹4050

Loss % (r) = 10%

SP = (1 - r/100) * CP

₹4050 = (1 - 10/100) * CP

CP = ₹4050 × 100 /90

= ₹ 4500

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Second part of the question -
_______________________________________

CP = ₹4500 (found in the first part of the question)

Profit % (r) = 8%

SP = ( 1 + r/100) × CP

= (1 +8/100) × ₹4500

= ₹ 4860

Ans. = The cost price of the article is ₹4500 .
And the new selling price is ₹4860.

Hope it helps!! ^_^