There are three house-hold articles. The cost of the first article is two-fifth the cost of the third article and the cost of the third article is twice the cost of second article. If the total cost of the three articles is Rs 228, then find the cost of the first article (in Rs)

Options

A. 40
B. 48
C. 50
D. 54

Answer

b

Explanation

Let the cost of the third article be Rs x.
`:.` Cost of the first article is Rs `(2)/(5) x`
Cost of the second article is `Rs (x)/(2)`
Total cost of the three articles is Rs 228
i.e., `x + (2x)/(5) + (x)/(2) = 228`
`(10x + 4x + 5x)/(10) = 228`
`19x = 2280`
`x = 120`
`:.` Cost of the first article `= (2)/(5) xx 120`
`= 2 xx 24 = Rs 48`
Hence, the correct option is (b)