A student painted a circular region of certain area such that `4//7`th of the area was pink, `1//10th` area was green, and `2//7th` was yellow. The remaining area of `6 m^(2)` was white. Find the area of the region which is painted pink (in sq. units)

Options

A. 95
B. 140
C. 240
D. 80

Answer

d

Explanation

Let the area of the circle be x sq. units
`(4x)/(7) + (x)/(10) + (2x)/(7) + 6 = x`
`(6x)/(7) + (x)/(10) + 6 = x`
`(60x + 7x)/(70) + 6 = x`
`(67x)/(1=70) + 6 = x`
`6 = x - (67x)/(70)`
`6 = (70x - 67x)/(70)`
`420 = 3x`
`:. x = 140`
`(4)/(7) x = (4)/(7) xx 140 = 80` sq. units
Hence, the correct option is (d)