100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is

A. 14 \frac{2}{7} \% \text { gain }

B. 15% gain

C. 14 \frac{2}{7} \% \text { loss }

D. 14 \frac{2}{7} \% \text { profit }

### Check Answer

The correct answer is

The cost price of 1 orange will be = \frac{350}{100}

The cost price of 1 Orange = RS. 3.50

The sale price of 12 oranges = RS. 48

The sale price of 1 orange will be = \frac{48}{12}

The sale price of 1 orange = RS. 4

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

\text { Gain } \%\ =\ \left(\frac{4\ -\ 3.50}{3.50}\ \times\ 100\right)\%

\text { Gain } \%=\left(\frac{0.50}{3.50} \times 100\right) \%

\text { Gain } \%=\frac{100}{7} \%

by simplifying more;

\text { Gain } \%=14 \frac{2}{7} \% or 14.28%

**“14 \frac{2}{7} \% \text { profit }“****Question:**100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:**Step by Step Solution:****Step: 1**

The cost price of 100 oranges = RS. 350The cost price of 1 orange will be = \frac{350}{100}

The cost price of 1 Orange = RS. 3.50

**Step: 2**The sale price of 12 oranges = RS. 48

The sale price of 1 orange will be = \frac{48}{12}

The sale price of 1 orange = RS. 4

**Step: 3**

As the selling price is more than the cost price, it means there is gain; so will use the gain % formula.\text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{4\ -\ 3.50}{3.50}\ \times\ 100\right)\%

\text { Gain } \%=\left(\frac{0.50}{3.50} \times 100\right) \%

\text { Gain } \%=\frac{100}{7} \%

by simplifying more;

\text { Gain } \%=14 \frac{2}{7} \% or 14.28%

**Hence, the Gain percentage is 14 \frac{2}{7} \% \text { loss }**