Divide rupees 1290 into A,B and C such that A is 2/5 of B and B:C = 4:3

Asked by aidanmohit7 | 15th Sep, 2019, 09:04: PM

Expert Answer:

begin mathsize 16px style Let space straight B space equals space 4 straight x space comma space straight C space equals space 3 straight x space and space straight A thin space equals space 2 over 5 left parenthesis space 4 straight x right parenthesis equals space 8 over 5 straight x
rightwards double arrow 4 straight x space plus space 3 straight x space plus 8 over 5 straight x space equals space 1290
rightwards double arrow 20 straight x space plus space 15 straight x space plus space 8 straight x space equals space 1290 space cross times space 5
rightwards double arrow straight x space equals space fraction numerator 1290 space cross times space 5 over denominator 43 end fraction space equals space 150
straight A space equals 8 over 5 straight x space equals space 8 over 5 cross times space 150 space equals space Rs. space 240 space
straight B space equals space 4 straight x space equals space 4 left parenthesis 150 right parenthesis space equals space Rs. space 600
straight C space equals space 3 straight x space equals space 3 left parenthesis 150 right parenthesis space equals Rs. space 450
end style

Answered by Yasmeen Khan | 16th Sep, 2019, 12:53: PM