Question

A shopkeeper bought a watch for 280rs and sold it for 315 rs what is percentage of profit need in mixed fraction​

Answer 1

Answer:

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Answer 2

Given:

A watch with

• Cost Price = Rs. 280
• Selling Price = Rs. 315

What To Find:

We have to find the profit percentage in a mixed fraction.

Formula:

$\boxed{\sf 1. \: Profit = SP - CP}$

$\boxed{\sf 2. \: Profit \: \% = \dfrac{Profit}{CP} \times 100}$

Solution:

• Finding the profit.

Using the formula,

$\sf \implies Profit = SP - CP$

Substitute the values,

$\sf \implies Profit = Rs. \: 315 - Rs. \: 280$

Subtract the values,

$\sf \implies Profit = Rs. \: 35$

• Finding the profit %.

Using the formula,

$\sf \implies Profit \: \% = \dfrac{Profit}{CP} \times 100$

Substitute the values,

$\sf \implies Profit \: \% = \dfrac{35}{280} \times 100$

Cancel the zeros,

$\sf \implies Profit \: \% = \dfrac{35}{28} \times 10$

Multiply 35 by 10,

$\sf \implies Profit \: \% = \dfrac{350}{28}$

Simplify them,

$\sf \implies Profit \: \% = \dfrac{50}{4}$

Convert it into a mixed fraction,

$\sf \implies Profit \: \% = 12 \: \dfrac{2}{4} \%$

Final Answer:

Thus, the profit % is 12 2/4 %.