Question

A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit . what will be the gain percent on his outlay?

options:

(a)51.25%
(b)37.5%
(c)43.75%
(d) 45.2%

Answer 1

Answer:

option D 45.2 %

Step-by-step explanation:

A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit . what will be the gain percent on his outlay?

defrauds to the extent of 10% in buying

Let say actual cost Price of item = C

then he shows off cost price = C + (10/100)C = 1.1C

He claims that he earns 10 % Profit

means Selling Price = 1.1C + (10/100)1.1C = 1.21C

But he do a fraud of 20 %

so actual Selling Price = 1.21C + (20/100)1.21C =  1.452C

actual Selling Price =  1.452C

Actual cost Price  = C

Profit = 1.452C -  C =  0.452C

Profit % = (0.452C/C) * 100 =  45.2 %

option D 45.2 % is  correct