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
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Correct Answer: INR 30
Solution : Let the cost of one apple be $x$ and one orange be $y$. According to the question, $12x+15y=660$ .......(1) And, $15x+21y=870$ ........(2) Multiplying equation (1) by 5 and equation (2) by 4, we get, $60x+75y = 3300$ and $60x+84y=3480$ Subtracting these equations, we get, $75y-84y=3300-3480$ ⇒ $9y=180$ ⇒ $y=20$ Putting this value in (1), we get, $12x+15(20)=660$ ⇒ $12x+300=660$ ⇒ $12x = 360$ ⇒ $x=30$ ⇒ The cost of one apple is INR 30 Hence, the correct answer is INR 30.
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Question : If the price of an apple is reduced by 30 percent, it enables the customer to buy 5 more apples for Rs. 140. Find the reduced rate of apple.
Option 1: Rs. 14
Option 2: Rs. 7
Option 3: Rs. 8.4
Option 4: Rs. 12
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
Question : A person bought two goods for INR 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each good is the same, find the cost price of goods sold at profit.
Option 1: INR 11,475
Option 2: INR 9,750
Option 3: INR 11,500
Option 4: INR 8,000
Question : If two qualities of a fruit costing INR 20 per kg and INR 38 per kg are mixed in the ratio of 5 : 4, then find the cost of the mixture per kg (in INR).
Option 1: 30
Option 2: 31
Option 3: 29
Option 4: 28
Question : The ratio of the cost price (CP) and marked price (MP) of an article is 4 : 7. A discount of 20% is given on MP and the shopkeeper makes a profit of INR 80. Find the CP of the article.
Option 1: INR 190
Option 2: INR 170
Option 3: INR 200
Option 4: INR 180
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