Select the correct answerA person bought some oranges at the rate of 3 per rupee. He bought the same number of oranges at the rate of 2 per rupee. He mixes both the types and sells at 5 for rupees 2. In this business he bears a loss of Rs 4. Find out how many oranges he bought in all?Options120 oranges240 oranges180 orangesCan’t be determined
Question
Select the correct answerA person bought some oranges at the rate of 3 per rupee. He bought the same number of oranges at the rate of 2 per rupee. He mixes both the types and sells at 5 for rupees 2. In this business he bears a loss of Rs 4. Find out how many oranges he bought in all?Options120 oranges240 oranges180 orangesCan’t be determined
Solution
Let's solve this step by step:
-
Let's assume the person bought 'x' oranges at the rate of 3 per rupee and 'x' oranges at the rate of 2 per rupee.
-
So, the total cost of oranges bought at the rate of 3 per rupee = x/3 rupees and the total cost of oranges bought at the rate of 2 per rupee = x/2 rupees.
-
Therefore, the total cost of all oranges = x/3 + x/2 = (2x + 3x) / 6 = 5x/6 rupees.
-
The person sells all the oranges at 5 for rupees 2. So, the selling price of all oranges = 2x/5 rupees.
-
Given that the person bears a loss of Rs 4, we can write the equation as: Cost Price - Selling Price = Loss.
-
Substituting the values we get: 5x/6 - 2x/5 = 4.
-
Solving this equation we get: 25x - 12x = 120, which simplifies to 13x = 120.
-
Solving for 'x' we get x = 120/13 which is not a whole number and since the number of oranges cannot be a fraction, the number of oranges he bought cannot be determined from the given information.
So, the correct answer is "Can’t be determined".
Similar Questions
Select the correct answerA person bought some articles at the rate of 5 per rupee and the same number at the rate of 4 per rupee. He mixed both' the types and sold at the rate of 9 for 2 rupees. In this business he suffered a loss of Rs. 3. The total number of articles bought by him was?Options10801090540545
Select the correct answerA man purchases some oranges at the rate of 3 oranges for Rs.40 and the same quantity at 5 oranges for Rs.60. If he sells all the oranges at the rate of 3 for Rs.50, find his gain or loss percent (to the nearest integer)?
Select the correct answerA fruit seller buys lemons at 2 for a rupee and sells them at 5 for three rupees. His profit percent is?Options20%15%10%25%
If a man lost 4% by selling oranges at the rate of 12 a rupees at how many a rupee must he sell them to gain 44%?(A) 7 (B) 8 (C) 9 (D) 10
Rajesh bought a total of 87 oranges and apples. The price of an orange is ₹12 and that of an apple is ₹15. The total cost of apples is more than the total cost of the oranges. Find the number of apples bought by him.45394248
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.