Question

A fruitseller bought 20 kg apples at rupees 60 per kg and 30 kg oranges at 40 per kg what rate per kg should he sell them to gain 25 percent.

Answer 1

Given:

A fruitseller bought 20 kg apples at rupees 60 per kg and 30 kg oranges at 40 per kg  

To find:

At what rate per kg should he sell them to gain 25%?

Solution:

The C.P. of 20 kg of apples = 20 kg × Rs. 60/kg = Rs. 1200

The C.P. of 30 kg oranges = 30 kg × Rs. 40/kg = Rs. 1200

∴ The total C.P. of all 50 kg of all apples and oranges is,

= Rs. 1200 + Rs. 1200  

= Rs. 2400

∴ The total cost of 1 kg of all apples and oranges = $\frac{2400}{50}$ = Rs. 48

Gain% = 25%

Therefore,

The total selling price of 1 kg of all apples and oranges is,

= $\frac{100 \:+\: G\%}{100} \times C.P.$

= $\frac{100 \:+\: 25}{100} \times 48$

= $\frac{125}{100} \times 48$

= $\bold{Rs.\:60}$

 

Thus, the fruit seller should sell them at the rate of Rs. 60 per kg.

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