Question

Alan marks up the price of an article by 20%. If he decreases the discount from 10%to 5%, he gains Rs.12 more. What is the profit, if the discount is 15%?

Answer 1

Answer:

The profit will be Rs. 1

Step-by-step explanation:

Let the marked price of the article be X

Discount = 10%

Price after discount

$=X-\frac{10X}{100}$

$=0.9X$

Price after increasing the marked price by 20%

$=X+\frac{20X}{100}$

$=1.2X$

Discount on this marked price is 5%

Thus the final price

$=1.2X-\frac{5\times 1.2X}{100}$

$=1.14X$

According to the question

$1.14X-0.9X=12$

$0.24X=12$

$X=50$ Rs.

If he gives the discount of 15% then price

$=1.2\times 50-\frac{15\times 1.2\times 50}{100}$

$=60-9$

$=51$

Profit = 51 - 50 = 1 Rs.

Therefore, the profit will be Rs. 1

Hope this helps.

Answer 2

Answer:

Rs 4  or 2 %

Step-by-step explanation:

Let say Cost Price = 100C

Marked up price = 100C + (20/100)100C = 120C

Selling Price at 10 % Discount = 120C - (10/100)120C  = 108C

Selling Price at 5 % Discount = 120C - (5/100)120C = 114C

114C - 108C  = 12

=> 6C = 12

=> C = 2

Cost Price = 100C = 200 Rs

Marked up Price = 120*2 = 240  Rs

Discount 15 % = (15/100) * 240  = 36 Rs

Selling Price = 240 - 36 = 204 Rs

Profit = 204 - 200 = Rs 4

Profit % = (4/200) * 100 = 2 %