A grocer bought two kinds of rice at rs. 38 and rs. 32 per kg respectively. In what ratio should these two be mixed, so that by selling the mixture at rs.42.5 per kg, 25% may be gained?
a.2:1
b.3:2
c.3:4
d.1:2 answer : d
Answers
Answer:
(d) 1 : 2
Step-by-step explanation:
Find the cost price of the 1 kg of mixture:
Gain = 25%
Selling Price = Cost Price + Gain
Selling Price = 100 + 25 = 125%
125% = Rs 42.50
1% = 42.5 ÷ 125 = Rs 0.34
100% = 0.34 x 100 = Rs 34
The cost price of 1 kg of mixture is Rs 34
Define x:
Let x be the amount of Rs 38 per kg of rice
Amount of Rs 32 per kg rice = (1 - x)
Solve x:
38x + 32(1 - x) = 34
38x + 32 - 32x = 34
6x = 2
x = 2 ÷ 6 = 1/3 kg
Find the amount of each type of rice:
Rs 38 per kg rice = x = 1/3 kg
Rs 32 per kg rice = 1 - x = 1 - 1/3 = 2/3 kg
Find the ratio:
Rs 38 per kg rice : Rs 32 per kg rice = 1/3 : 2/3
Multiply by 3 through:
Rs 38 per kg rice : Rs 32 per kg rice = 1 : 2
Answer: 1 : 2
Answer:
1:2
Step-by-step explanation:
Given A grocer bought two kinds of rice at rs. 38 and rs. 32 per kg respectively.
One kg of rice costs equals to Rs 42.5. Gain was 25%. So selling price was Rs 42.5 for one kg.
Therefore cost price = 42.5 x 100 / 125 = Rs 34 per kg.
Since there are two varieties of rice that has to be mixed to get 34 Rs per kg.
here we can use the rule of alligations in ratio we have
38 32
34
We have 32 - 34 / 34 - 38 = - 2/-4 = 1/2 = 1 : 2
ratio should these two be mixed, so that by selling the mixture at rs.42.5 per kg, 25% may be gained will be 1 : 2