salesperson A sells an object at a price rs.5 less than marked price,receiving a commission of 5% non the selling price. the same object is sold by person B at a price rs 15 less than marked price,receiving a commission of 15% on the selling price. If both A and B receive the same amount in commission then what is the marked price of the object ?
Answers
marked price of the object = Rs 20
Step-by-step explanation:
Let say Marked Price of object = M rs
salesperson A sells an object at a price rs.5 less than marked price
Selling Price = M - 5 Rs
5 % Commission on selling price
=> Commission = (5/100)(M - 5) Rs
salesperson B sells an object at a price rs.15 less than marked price
Selling Price = M - 15 Rs
15 % Commission on selling price
=> Commission = (15/100)(M - 15) Rs
both A and B receive the same amount in commission
(5/100)(M - 5) = (15/100)(M - 15)
=> M - 5 = 3(M - 15)
=> M - 5= 3M - 45
=> 2M = 40
=> M = 20
marked price of the object = Rs 20
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