Question

an article is marked to sell at profit of 16%. if it is sold for rs 62.50 less ,t
here will be a loss of 9% .find cp​

Answer 1

The cp is 250.

Explanation:

Marked price of the article is 116% of the cost price as it is intended to be sold at 16% profit.

$MP=116/100 cp$

If the marked price is Rs.62.5 less,there will be a loss of 9%

$MP-62.5=(100-9)/100 cp$

$MP-62.5=91/100 cp\\since\ MP=116/100 cp\\MP-62.5=91/100 cp\\116/100 cp-62.5=91/100 cp\\1.16cp-0.91 cp=62.5\\0.25cp=62.5\\cp=62.5/0.25\\=250$

The cp is 250.