Question : Rini has mixed two colours 'C1' and 'C2' in the ratio 2 : 3. If the rate of the colour 'C1' is INR 500 per unit and she is selling the mixture of the two colours at INR 650 per unit at a breakeven price, then what is the rate (in INR) per unit of the second colour, that is, 'C2'?
Option 1: INR 750
Option 2: INR 725
Option 3: INR 760
Option 4: INR 765
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Correct Answer: INR 750
Solution : Using the alligation diagram Given: C1 : C2 = 2 : 3 The rate of the colour C1 = INR 500 Using alligation: $\frac{C_2 - 650}{650 - 500} = \frac{2}{3}$ C2 = 750 Hence, the correct answer is INR 750.
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Question : One quality of rice at INR 45 per kg is mixed with another quality at a certain rate in the ratio of 3 : 2. If the mixture so formed is worth INR 50 per kg, what is the rate per kg of the second quality of rice?
Option 1: INR 57
Option 2: INR 57.5
Option 3: INR 58
Option 4: INR 58.5
Question : The compound interest (compounding annually) on a certain sum at the rate of 8% per annum for two years is INR 6,656. What would be the simple interest on the same sum at the same rate of interest for two years?
Option 1: INR 5,600
Option 2: INR 6,224
Option 3: INR 6,400
Option 4: INR 6,336
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 : The chemical formula of propene is:
Option 1: C2H4
Option 2: C3H4
Option 3: C2H2
Option 4: C3H6
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