Question

A person bought some article 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 Rs.
2. In this business he suffered a loss of Rs. 3. Find th
total no. of articles bought by him?​

Answer 1

Answer:

C.P of 1st type article ( 5 nos.) = 1Re.

C.P of 1 number = 1/5 Re.

C.P of 2nd type article (4 nos.) = 1 Re.

C.P of 1 number = 1/4 Re.

S.P of 9 articles = Rs. 2

S.P of 1 article = Rs. 2/9

Total C.P (2 numbers) = 1/5 + 1/4 = 9/20 Rs.

S.P of 2 articles = 2* 2/9 = 4/9 Rs.

Loss on 2 numbers = C.P - S.P = 9/20 - 4/9 = 81-80/180 = 1/180  [lcm = 180]

Given, he suffered a loss of '3 Rs.'

1/180 Rs=== 2 articles

3 Rs.====== X articles

X = 3*2*180 = 1080 articles  

Hope this helps