Question : In what ratio must a grocer mix two varieties of sweets costing Rs. 30 and Rs. 20 per kg respectively to get a mixture worth Rs. 25 per kg?
Option 1: $2:3$
Option 2: $1:1$
Option 3: $5:4$
Option 4: $4:5$
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Correct Answer: $1:1$
Solution : Let the two varieties of sweets costing Rs. 30 and Rs. 20 per kg be mixed in the ratio of $x:y$ respectively. Weighted Average=$\frac{\text{Quantity of first variety×Price per kg of first variety)+(Quantity of second variety×Price per kg of second variety)}}{\text{Total quantity}}$ ⇒ 25 = $\frac{(30x+20y)}{x+y}$ ⇒ 25($x+y$) = 30$x$+20$y$ ⇒ 25$x$ + 25$y$ = 30$x$ + 20$y$ ⇒ 5$y$ = 5$x$ ⇒ $x:y$ = 1 : 1 Hence, the correct answer is $1:1$.
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Question : In what ratio must a supplier mix two varieties of pulses costing INR 10 per kg and INR 30 per kg, respectively, so as to get a mixture worth INR 15 per kg?
Option 1: 3 : 1
Option 2: 4 : 5
Option 3: 2 : 3
Option 4: 1 : 2
Question : The ratio in which a man must mix rice at Rs. 10.20 per kg and Rs. 14.40 per kg to make a mixture worth Rs. 12.60 per kg, is:
Option 1: 4 : 3
Option 2: 2 : 5
Option 3: 18 : 24
Option 4: 3 : 4
Question : In what ratio must tea worth Rs. 10 per kg be mixed with tea worth Rs. 15 per kg, so that the resultant mixture costs Rs. 12 per kg?
Option 1: 3 : 5
Option 2: 2 : 3
Option 3: 3 : 2
Option 4: 2 : 5
Question : In what ratio must tea at Rs. 58 per kg be mixed with tea at Rs. 64 per kg so that the mixture must be worth Rs. 60 per kg?
Option 1: 2 : 3
Option 2: 2 : 1
Option 3: 1 : 2
Option 4: 3 : 2
Question : In what ratio sugar of Rs. 30 per kg should be mixed with sugar of Rs. 40 per kg so that the mixture is worth Rs. 37 per kg?
Option 1: 8 : 9
Option 2: 3 : 7
Option 3: 4 : 3
Option 4: 9 : 5
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