Question

A par sold his bycle for 4200rs at a loss of 16% find the cost price of a cycle

Answer 1

GIVEN :

• Selling price of cycle = ₹4200
• Loss percentage = 16%

To find :

Cost price of cycle

Formula used :

• Loss = CP - SP
• Loss % = ( Loss × 100) ÷ CP

Solution :

$\sf \implies \: Lost\:\% \: = \: \dfrac{Loss}{CP} \: \times \: 100\\\\\sf\implies\:Lost\:\%\:=\:\dfrac{( \: CP \: - \: SP \: )}{CP} \: \times \: 100 \\ \\ \sf \implies \:16 \: = \:\dfrac{( \: CP \: - \: 4200 \: )}{CP} \: \times \: 100 \\ \\ \sf \implies \:16 \: \times CP \: = \:( \: CP \: - \: 4200 \: ) \times 100 \\ \\ \sf \implies \:16CP \: = \: \: 100CP \: - \: 420000\: \\ \\ \sf \implies \: 100CP \: - \: 16CP = 420000 \\ \\ \sf \implies \: 84CP \: = 420000 \\ \\ \sf \implies \: CP \: = \: \dfrac{420000}{84} \\ \\ \sf \implies \: CP \: = \: \bold{5000}$

ANSWER :

Cost price of cycle = Rs 5000