Directions for question :
The following Line Graph depicts the Mark-up percentage and the Discount percentage of six types of hand-woven Murshidabad-silk sarees A to F at a Tantuja Store in Kolkata, the West Bengal government handloom and silk saree shop.
Question:
The ratio of the selling price of Murshidabad-silk saree types C and D is 3 : 4.
Quantity A : The percentage by which the cost price of saree type D is more than the cost price of saree type C.
Quantity B : 30%
A = B
A > B
A < B
Cannot be determined
Profit percentage on saree type C
= 20 – 10 + 20(–10)/100
= 8%.
Profit percentage on saree type D = 5% (found in previous question).
If the cost price of saree type C is 100x, then selling price of saree type C is 108x.
If the cost price of saree type D is 100y, then selling price of saree type D is 105y.
Thus,
108x/105y = 3/4
or, x/y = 35/48
or, the ratio of cost price of saree type C and D = 35/48
Hence, the percentage by which the cost price of saree type D is more than the cost price of saree type C
= {(48–35)/35}*100
= 37%
Hence A > B