A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is

A. 5%
B. 8%
C. 10%
D. No profit, no loss

Check Answer

The correct answer is “5%”
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is;

Step by Step Solution:

We will use this formula to find price;
price = units × rate

Step: 1

The cost price of 26Kg rice = (26 × 20)
The cost price of 26Kg rice = RS. 520

The Cost price of 30Kg rice = (30 × 36)
The cost price of 30Kg rice = RS. 1080

The total cost price of 56Kg rice = RS. 520 + RS. 1080
The total cost price of 56Kg rice = RS. 1600

Step: 2

The selling price of 56Kg rice = (56 × 30)
The selling price of 56Kg rice = RS. 1680

Step: 3

\text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{1680\ -\ 1600}{1600}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{80}{1600}\ \times\ 100\right)\%

Gain % = 5%

Hence, the trader profit % is 5%
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