Answer:
The correct answer is - A)8% B) 3%
Step-by-step explanation:
A) Let assume:
the cost price of the goods - $y.
the selling price of the goods - $x.
Given: The retailer sold at 4% discount, or 0.96x (100% - 4% = 96%). Since the goods were sold to make 20% profit, therefore it was sold for:
1.2y (100% + 20% = 120%).
Solution:
The refrigerator was sold at 13% VAT at Rs. 10848:
then,
=> 1.2y + 13%(1.2y) = 10848
=> 1.2y + 0.156y = 10848
=> 1.356y = 10848
=> y = 8000
Thus, the cp is Rs 8000.
The selling price is:
=> 0.96x = 1.2y
=> 0.96x = 1.2(8000)
=> x = 10000
The sp is Rs. 10000
For a profit of 15%, that is 1.15(8000) = 9200, the discount is:
(1 - discount)10000 = 9200
1 - discount = 0.92
Discount = 1 - 0.92 = 0.08 or 8%
B) Let C & M as cost price & marked price of the scanner machine respectively.
(1 + 20/100)*C = 41400
or (6/5)*C = 41400
or C = (5/6)*41400
= 34500 (Rs)
(1 - 10/100)*(1 + 15/100)*M = 41400
or (9/10)*(23/20)*M = 41400
or M = (10/9)*(20/23)*41400
= 40000 (Rs)
Let R% as the reduction in the percent in discount
(1 - 10/100 + R/100)*(1 + 15/100)*M
= (1 + 20/100 + 4/100)*C
or (9/10 + R/100)*(23/20)*40000
= (31/25)*34500
or 9/10 + R/100
= (20/23)(31/25)*(345/400)
or R/100 = 0.93 - 0.9 = 0.03
or R = 3%
. We have our c value and our a value, so we will sub in those to find b. 
and 256 = 400 - b^2. -b^2 = -144, so b = 12. There you go!