Question

On selling an exhaust fan for 7350 , a man gains 1/6 of its cost price. Find the cost price of the fan
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Answer 1

Given:

• On selling an exhaust fan for 7350 , a man gains 1/6 of its cost price.

To find:

• Cost Price of the fan

Solution:

• Let the cost price of fan be x

$\sf \pink{According \: To \: Question,} \ \\ \tt \color {pink} Gain = \ x \times \frac{1}{6} \\ \tt \color{lime}\: Hence, \: Selling \: Price \: of \: Fan \\ \sf \: = x + x \times \frac{1}{6} \\ = x \times \frac{7}{6} \\ \tt \color{magenta} {According \: to \: question,} \\ \pink{ x \times \frac{7}{6}} \\ \color{plum} Rs.7350 \\ \implies \color{cyan} \: x = 7350 \times \frac{6}{7} \\ \color{red} \implies \: x = 1050 \times 6 \\ \mathscr \color{orange}Hence ,\: C.p = Rs.6300$

Know More:

• Profit, P = SP – CP; SP>CP
• Loss, L = CP – SP; CP>SP
• P% = (P/CP) x 100
• L% = (L/CP) x 100
• SP = {(100 + P%)/100} x CP
• SP = {(100 – L%)/100} x CP
• CP = {100/(100 + P%)} x SP
• CP = {100/(100 – L%)} x SP
• Discount = MP – SP
• SP = MP -Discount