Question
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c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per
and gained Rs 800 .
(i) Find the selling price of 50 kg of oranges.
(ii) At what rate of price did he buy the oranges?

Ask by Carroll Cummings. in Nepal
Jan 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solutions:
  1. Selling Price of 50 kg of Oranges: Rs 4000
  2. Buying Price per kg of Oranges: Rs 64

Solution

Let’s solve the problem step by step.

Given:

  • Quantity sold: 50 kg of oranges
  • Selling price per kg (SP/kg): Rs 80
  • Total profit (Gain): Rs 800

(i) Find the Selling Price of 50 kg of Oranges.

The selling price (SP) for the total quantity can be calculated as:
Answer: The selling price of 50 kg of oranges is Rs 4000.

(ii) At What Rate Did He Buy the Oranges?

To find the cost price (CP) per kg, we’ll use the relationship between selling price, cost price, and profit.
Given that the total profit is Rs 800, we can express it as:
We already know the Total SP is Rs 4000. Let the Total CP be .
Now, find the Cost Price per kg (CP/kg):
Answer: The buying price was Rs 64 per kg.

Summary:

  1. Selling Price of 50 kg: Rs 4000
  2. Buying Price per kg: Rs 64

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

The selling price of 50 kg of oranges can be calculated by multiplying the selling price per kg by the total weight sold. So, .
To determine the cost price, we know the seller gained Rs 800. Therefore, we can find the cost price by subtracting the gain from the selling price: . Now, to find the rate at which he bought the oranges, divide the cost price by the weight: .
So, the selling price of 50 kg of oranges is Rs 4000, and he bought them at Rs 64 per kg.

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