Question

What is the cost price of a bog of rice containing 30 kg if by selling at Rs 19/kg a loss of 5.%. is made?​

Answer 1

Cost price of a bog of rice containing 30 kg is Rs 542.85

Explanation:

Given:

• Selling price of 1 kg rice = Rs 19
• Loss percentage = 5% = 0.05
• Number of kg of rice = 30

To find:

• Cost price of the bag of rice

Approach:

• Calculate the cost price per kg of rice by considering the loss percentage.
• Multiply the cost price per kg by the number of kg of rice to find the cost price of the bag of rice.

Solution:

The cost price per kg of rice is calculated as follows:

`\tt \textsf{Cost price per kg}+\textsf{ Loss \% of Cost price per kg}= \textsf{Selling price per kg}`

Also written it as:

`\textsf{ Cost price per kg}*\textsf{(1 + Loss \%)} = \textsf{Selling price per kg}`

`\textsf{ Cost price per kg}= \frac{\textsf{Selling price per kg}}{\textsf{(1 + Loss \%)}}`

Substituting value

`\tt \textsf{ Cost price per kg}= (19)/(1+0.05) = (19)/(1.05)`

`\tt \textsf{ Cost price per kg}=Rs \:18.095`

The cost price of the bag of rice is calculated as follows:

`\textsf{Cost price of the bag = Cost price per kg * Number of kg of rice}`

`\tt \textsf{Cost price of the bag = Rs } 18.095* 30`

`\tt \textsf{Cost price of the bag = Rs } 542.85`

Therefore, the cost price of the bag of rice containing 30 kg if by selling at Rs 19/kg a loss of 5%. is made is Rs 542.85

`\boxed{\textsf{Good Luck! NEPAL}}`