A person bought some articles at the rate of 5 per rupee and the same number at the rate of 4 per rupee. He mixed both the types and sold at the rate of 9 for 2 rupees. In this business he suffered a loss of Rs. 3. The total number of articles bought by him was = ?

A. 1090

B. 1080

C. 540

D. 545

Answer: Option B

Solution(By Examveda Team)

let the person buy 10 articles.
Total CP $$ = {\text{Rs}}{\text{.}}\,\left( {1 + \frac{5}{4}} \right) = {\text{Rs}}{\text{.}}\,\frac{9}{4}$$
SP of 10 articles
$$\eqalign{ & = {\text{Rs}}{\text{.}}\,\frac{2}{9} \times 10 \cr & = {\text{Rs}}{\text{.}}\,\frac{{20}}{9} \cr} $$
so Loss = $$\left( {\frac{9}{4} - \frac{{20}}{9}} \right) = \frac{1}{{36}}$$
Now, if loss is Rs.$$\frac{1}{{36}}$$, number of article = 10
So If loss is Rs. 3, number of article = 36 × 10 × 3 = 1080