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Directions: Refer the following data to answer the questions given below.
Solution:
The resultant mixture is sold at a profit of 20% at Rs.96/kg
i.e. 1.2 (cost) = Rs.96 ⇒ Cost = 96/1.2 = Rs.80 / kg.
Let the three varieties be A, B, and C costing Rs.60, Rs.75 and Rs.100 respectively.
The mean price falls between B and C.
Hence the following method should be used to find the ratio in which they should be mixed.
Step 1:
Find out the ratio of Qa:Qc using alligation rule
Qa/Qc=(100−80)/(80−60)=1/1
Step 2:
Find out the ratio of Qb:Qc using alligation rule Qb/Qc=(100−80)/(80−75)=4/1
Step 3:
Qc, the resultant ratio of variety c can be found by adding the value of Qc in step 1 and step 2 = 1 + 1 =2.
The best way to solve a problem of this kind in CAT is to go from the answer choices as shown below
The resultant ratio Qa:Qb:Qc::1:4:2
1 kg of variety A at Rs.60 is mixed with 4 kgs of variety B at Rs.75 and 2 kgs of variety C at Rs.100.
The total cost for the 7kgs=60+(4×75)+(2×100)=60+300+200=560.
Cost per kg of the mixture = 560/7 = 80 kgs.
Directions: Refer the following data to answer the questions given below.
Directions: Refer the following data to answer the questions given below.
S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.
C.P. of 1 kg of mixture = Rs.100/110x 9.24= Rs. 8.40
Directions: Refer the following data to answer the questions given below.
Explanation:
Amount of milk left after 3 operations = [40{1 - 4/40}^3 litres
=40 x9/10x9/10 x910= 29.16 litres.
Directions: Refer the following data to answer the questions given below.