Question

12 kg of a variety of sugar costing Rs.50 per kg is mixed with 20 kg of another variety costing Rs. X per kg such that when the mixture is sold for Rs. 40 per kg, there is a profit of 25%. Find the value of X.​

Answer 1

Answer:

21.2 /kg

Step-by-step explanation:

LONG METHOD:

selling price of mixture, S.p = 40 /kg

profit % = 25 %

(S.p - C.p)/C.p = 25/100

(40 - C.p) × 100 = 25*C.p

C.p = 4000/125 = 32 /kg

(12×50 + 20×X)/(12+20) = 32

X=21.2 /kg

SHORT METHOD (FOR SSC/BANK ASPIRANT):

C.p. S.p

4. 5

5 => 40 /kg

4 => 32 /kg

50. X

\. /

32

/. \

12. :. 20 (or 3 : 5)

50 - 32 = 5t

t= 18/5

32 - X = 3t

X = 32 - 54/5 = 21.2 /kg