Safia calculated his loss percent as $$14 \frac{2}{7}\%$$​ on cost price. The ratio of selling price to cost price will be:

Correct option is B

Given:

Loss % = $$14 \frac{2}{7} = \frac{100}{7}\%$$​​

Formula Used:​

Loss % = $$\frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}} \times 100$$​​

Selling price to cost price ratio 

$$\frac{\text{SP}}{\text{CP}} = 1 - \frac{\text{Loss\%}}{100}$$​​

Solution:

$$\frac{\text{SP}}{\text{CP}} = 1 - \frac{100/7}{100}$$​

​$$= 1 - \frac{1}{7} = \frac{6}{7}$$​​

Ratio of SP to CP = 6 : 7