राकेश यादव रीडर पब्लिकेशन रुपये 9,00,000 का लाभ कमाती है जिसके 20% भाग शेष लाभ P,Q तथा R को क्रमश `1:1 (1)/(2):2` के अनुपात में दिया जाता है तो ज्ञात करे प्रत्येक का हिस्सा क्या है ?

Options

A. रुपये 2,40,000, रुपये 3,20,000, रुपये 1,60,000
B. रुपये 3,20,000, रुपये 2,40,000, रुपये 1,60,000
C. रुपये 1,60,000, रुपये 3,20,000, रुपये 2,40,000
D. रुपये 1,60,000, रुपये 2,40,000, रुपये 3,20,000

Answer

D

Explanation

`{:(,P:,Q:,R),("capital"rarr.,1:,(3)/(2):,2),("Profiy"rarr.,2:,3:,4):}`
Note: Profit would be divided in the ratio of their capitals. (लाभ पूंजी के अनुपात में बटेगा )
Profit `=(2x +3x +4x) = 9x` units
According to the questions,
`9x =9,00,000 xx (80)/(100)`
`9x = 7,20,000`
`x = 80,000`
Profit of `P = 2x = 2 xx 80,000`
=रूपये 1,60,000
Profit of `Q = 3x = 3x 80,000`
= रूपये 2,40,000
Profit of `R = 4x = 4 xx 80,000`
=रूपये 3, 20,000