Question

An almirah is sold at 160% of cp and overhead expense is 5% of CP. If profit is 1650, then find SP

Answer 1

Given:

• An almirah is sold at 160% of cp and overhead expense is 5% of CP. If profit is 1650.

To find:

• Find Sp

Solution:

$\ \sf \: Let \: Cp \: Be \: x \\ \sf \: Overhead \: Expenses = \frac{5x }{100} = \frac{x}{20} \\ \sf \: total \: cp = (x + \frac{x}{20} ) \\ Sp = ( \frac{160}{100} \times x) = \frac{8x}{5} \\ Profit =( \frac{8x}{5} - \frac{21x}{20} ) = \frac{11x}{20} \\ \sf \pink{ According \: To \: Question} \\ \sf \red{ \frac{11x}{2 0 } = 1650 \implies \: x = 3000 }\\ \sf \: \sf \blue{Sp = ( \frac{8}{5} \times 3000) = 4800}$