A shopkeeper marked the price of an article by 40% above cost price and gave discount of Rs. 224. On the final amount, he charged 10% tax. In the whole transaction, he earned Rs. 158.6. Find cost price of the article.

let cost price be Rs. 100x

Marked price = $frac{{140}}{{100}} imes 100x = Rs140x$

Selling price = ???????? (140x−224)

Selling price after tax = $frac{{110}}{{100}} imes left( {140x - 224} ight)$

= Rs (154x−246.4)

ATQ, 100x+158.6=154x−246.4

x=7.5

Cost price of article = 100x=???????? 750