Math, asked by istakkaji13, 4 months ago

A fan is sold for 644. The gain is one-sixth-
of the cost price of the fan. Find the gain
per cent.

Answers

Answered by Soupteek
3

Answer:

16.67%

Step-by-step explanation:

Let the cost price of the fan be ₹z

Therefore one-sixth of the cost price =₹(1/6×z) = ₹z/6

Selling price of the fan = ₹644

B.T.P,

z + z/6 = 644

=>6z +z/6 = 644

=>7z/6 = 644

=> z = 644÷7/6

=> z = 644× 6/7

=> z = 92 × 6

=> z = 552

Therefore cost price = ₹552

Therefore gain = ₹(1/6 × 552) = ₹92

Therefore gain percentage = (92 × 100/552)%

= (100/6)% = (50/3)%

= 16.67%

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