A rice trader selling basmati rice makes a profit on the trade by adulterating the rice with an inferior substitute surti kolam. When he mixes the basmati and kolam in the ratio 3:2 he makes a profit of 33%. When he mixes them in the ratio 4:1 he makes a profit of Rs 25 per kg. In what ratio must he mix the two rices to make a profit of 100%? (Assume he sells at the stated price of basmati per kg
A. 1:4
B. 1:1
C. 2:3
D. 4:1
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3:2
Let basmati cp= x/kg
Other= y /kg
From 1st
5x= 4/3(3x+2y)
X/y=8/3..........1
From 2nd
5x-4x-y= 25
X-y= 25......2
From 1 & 2
X= 40/kg
Y= 15/kg
For 100% profit
Let ratio= n/m
40(n+m)-40n-15m= 40n+15m
40n+40m= 80m+30n
N/m= 1/4.......ans
Proof
5*40= 200..…sp
Cp= 40+4*15= 100
200-100= 100% profit
ans?