Question

a fruit when the buy is some oranges at the rate of rupees 5 per hour you also buy the equal number of bananas at the rate of rupees to per banana he makes a 20% profit on allergies and 15% and bananas at the end of the day all fruit is sold out his total profit is repeat 390 find their number of oranges purchased​

Answer 1

Correct Question:

A fruit vendor buys some oranges at the rate of Rs. 5 per orange. He also buys an equal number of bananas at the rate of Rs. 2 per banana. He makes a 20% profit on oranges and 15% profit on bananas. At the end of the day, all fruit is sold out. His total profit is Rs. 390. Find the number of oranges purchased.

Given:

✰ A fruit vendor buys some oranges at the rate of Rs. 5 per orange.

✰ He also buys an equal number of bananas at the rate of Rs. 2 per banana.

✰ He makes a 20% profit on oranges.

✰ He makes 15% profit on bananas.

✰ His total profit is Rs. 390.

To find:

✠ The number of oranges purchased.

Solution:

Let's understand the concept first! It is easy questions which can be solved by the simple knowledge of profit and loss. One can just make mistakes in the calculation while doing the question and understanding the concept is bit easier.

• As we know the number of oranges and the number of bananas are equal. He bought an equal number of bananas to the oranges.
• If we consider or assume the number of oranges as x and so the bananas are equal in number and bananas be x.
• He buys some oranges at the rate of Rs. 5 per orange. So oranges bought to be 5x and he also buys an equal number of bananas at the rate of Rs. 2 per banana that means 2x. Then we will find total.

Let the no. of oranges be x,

and the no. of bananas are equal be x

⟹ Cost Price = 5x + 2x

⟹ Cost Price = 7x

Now, we will find profit i.e, gain on both oranges and bananas.

He makes a 20% profit on oranges,

➺ Profit made on oranges = 20% of 5x

➺ Profit made on oranges = 20/100 × 5x

➺ Profit made on oranges = 2/10 × 5x

➺ Profit made on oranges = 2/2 × x

➺ Profit made on oranges = x

He makes 15% profit on bananas,

➺ Profit made on bananas = 15% of 2x

➺ Profit made on bananas = 15/100 × 2x

➺ Profit made on bananas = 30x/100

➺ Profit made on bananas = 3x/10

➺ Profit made on bananas = 0.3 x

So, the total profit he made is = x + 0.3x

⟹ The total profit he made is = 1.3x

His total profit = Rs. 390

➺ 1.3x = Rs. 390

➺ x = 390/1.3

➺ x = 300

∴ The number of oranges purchased = Rs. 300

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