Question

The cost of oil is rs.100 per kilogram. after adulteration with another oil, which costs rs.50 per kilogram, ram sells the mixture at rs.96 per kilogram making a profit of 20%.  in what rate does he mix the two kinds of oil?

Answer 1

20% profit means sp=120% thus

120%=96 means cp=80 rs no by alligation

100 50

80

30 : 20

thus ratio is 30/20 i.e 3:2

Answer 2

Answer:

Ratio in which both oils are mixed is 3 : 2.

Step-by-step explanation:

Given:

Cost of oil = Rs. 100 per kg

Cost of Another oil = Rs. 50 per kg

Rate of mixture = Rs. 96 per kg

Profit percentage on mixture = 20%

To find: Ratio in which both oils are mixed.

Selling Price = Rs. 96

Profit percentage = 20%

We know that,

$CP=\frac{SP\times100}{100+P}$

$CP=\frac{96\times100}{100+10}=80$

Cost Price of Oil = Rs. 80 per kg

let the ratio is x : y

According tot he Question,

x + y = 1 .......................(1)

100x + 50y = 80

10x + 5y = 8 .......................(2)

Solve,

10 × (1) - (2)

10y - 5y = 10 - 8

5y = 2

y = 2/5

put this in equation (1),

x + 2/5 = 1

x = 1 -2/5

x = 3/5

x : y  = 3/5 : 2/5 = 3 : 2

Therefore, Ratio in which both oils are mixed is 3 : 2.