question_answer

An item was sold for Rs. 540 at a loss of 5%. What was its cost price?

Answer:

Given, S.P. of an item = Rs 540; Loss % = 5%   Let the C.P. of an item be Rs x.   Then, loss = 5% of C.P. of an item   \[=\frac{5}{100}\times x=Rs\,\frac{5x}{100}\]     Now, S.P. = C.P. ? Loss \[\therefore ~~~~~~~~540=\left( x-\frac{5x}{100} \right)\]   \[540=\left( \frac{100x-5x}{100} \right)\]   \[540=\frac{95x}{100}\]                         95x = 540 × 100   \[x=\frac{540\times 100}{95}=Rs\,\frac{10800}{19}\]   \[=Rs\,568\frac{8}{19}\,\,or\,\,Rs\,568.42\] Hence, C.P. of an item is Rs 568.42. 1