Question : The cost of 3 cups and 5 plates is INR 1,080 and the cost of 2 cups and 4 plates is INR 840. Find the ratio of the cost of a cup to the cost of a plate.
Option 1: 1 : 3
Option 2: 2 : 3
Option 3: 1 : 1
Option 4: 1 : 2
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Correct Answer: 1 : 3
Solution : Let the cost of 1 cup be $x$ and the cost of 1 plate be $y$> So, according to the question, the equations formed are 3$x$ + 5$y$ = 1080............(equation 1) And, 2$x$ + 4$x$ = 840.............(equation 2) Multiplying equation 1 by 2 and equation 2 by 3, we get: 6$x$ + 10$y$ = 2160................(equation 3) 6$x$ + 12$y$ = 2520.................(equation 4) Subtract equation 3 from equation 4, we get: 2$y$ = 360 ⇒ $y$ = 180 Putting the value of plates in equation 1, we get: 3$x$ + 5 × 180 = 1080 ⇒ $x$ = 60 $\therefore$ Ratio of the cost of a cup to the cost of a plate = 60 : 180 = 1 : 3 Hence, the correct answer is 1 : 3.
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Question : One litre of milk costs INR 40. Water is mixed with milk and the mixture cost becomes INR 30 per litre. Find the ratio of water and milk in the mixture.
Option 1: 2 : 5
Option 2: 1 : 3
Option 3: 1 : 2
Option 4: 2 : 3
Question : The cost of 4 rings and 2 bangles of gold is INR 40,000. What is the cost of 10 rings and 5 bangles?
Option 1: INR 1,00,000
Option 2: INR 80,000
Option 3: INR 1,20,000
Option 4: INR 90,000
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Option 1: INR 920
Option 2: INR 940
Option 3: INR 880
Option 4: INR 900
Question : The cost of 12 apples and 15 oranges is INR 660. The cost of 15 apples and 21 oranges is INR 870. Find the cost of one apple.
Option 1: INR 25
Option 2: INR 15
Option 3: INR 30
Option 4: INR 20
Question : A shopkeeper marked a product 5% above the cost price and sold the product for INR 1890 by giving a discount of 10%. The cost price of the product is:
Option 1: INR 1,701
Option 2: INR 2,100
Option 3: INR 2,000
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