Question : The price of a variety of a commodity is INR 7 per kg and that of another is INR 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is INR 10 per kg.

Option 1: 3 : 4

Option 2: 2 : 3

Option 3: 4 : 5

Option 4: 2 : 5

Question : In a mixture of three varieties of tea, the ratio of their weights is 4 : 5 : 8. If 5 kg tea of the first variety, 10 kg tea of the second variety and some quantity of tea of the third variety are added to the mixture, the ratio of the weights of three varieties of tea becomes 5 : 7 : 9. In the final mixture, the quantity (in kg) of the third variety of tea was:

Option 1: 42

Option 2: 45

Option 3: 48

Option 4: 40

Question : Rice worth INR 35 per kilogram and INR 38 per kilogram are mixed with a third variety in the ratio 2 : 1 : 2. If the mixture is worth INR 42 per kilogram, the price of the third variety per kilogram is:

Option 1: INR 52

Option 2: INR 53

Option 3: INR 54

Option 4: INR 51

Question : Rice worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth Rs.153 per kg, then the price of the third variety per kg (in Rs.) is:

Option 1: 182.5

Option 2: 195.5

Option 3: 133.5

Option 4: 175.5

Question : Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in the ratio $1:2:3$. If the mixture is worth Rs.75 per kg, then the price of the third variety per kg will be equal to:

Option 1: Rs. 95

Option 2: Rs. 85

Option 3: Rs. 80

Option 4: Rs. 90

Question : In what ratio should sugar at Rs. 30 per kg be mixed with sugar at Rs. 45 per kg so that, on selling the mixture at Rs. 42 per kg, there is a profit of 20%?

Option 1: 2 : 1

Option 2: 2 : 3

Option 3: 5 : 2

Option 4: 3 : 7