Question

43. Find the selling price of goods if two salesman claim to make 25% profit each, one calculating it on cost
price while another on the selling price, the difference in the profit earned being Rs. 100 and selling price
being the same in both the cases?
(a) Rs. 2000 (b) Rs. 1600 (c) Rs. 2400 (d) Rs. 2500 (e) Rs. 2525
​

Answer 1

Answer: Option (a) is correct.

Step-by-step explanation:

Let the selling price of goods be 'x'.

Profit % = 25%

If profit is calculated on selling price :

Cost price would be

$Cost\ price=Selling\ price -Profit\\\\Cost\ price=x-0.25x\\\\Cost\ price=0.75x$

If profit is calculated on cost price.

$x=\dfrac{100+25}{100}\times C.P.\\\\x=\dfrac{125}{100}\times C.P.\\\\\dfrac{100}{125}=C.P.\\\\0.80x=C.P.$

So, Profit would be

Selling price - Cost price

=x-0.80x

=0.20x

Difference between in the profit earned = 100

According to question, it becomes

$0.25x-0.20x=100\\\\0.05x=100\\\\x=\dfrac{100}{0.05}\\\\x=Rs. 2000$

Hence, Option (a) is correct.