Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A shopkeeper gives 10% discount on a produ
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: A shopkeeper gives 10% discount on a product and wants to earn 20% profit on that product. Then what should be the product marked price so it can fulfill above profit and discount condition, if the cost price is 300?
Quantity B: Ram has 30 storybooks, out of which he sells some at 2% profit and rest other at 6% profit. He gains 4% in the whole process. What is the profit amount collected from storybooks sold at 6% profit if Cost price of a storybooks is Rs. 120.1). Quantity A > Quantity B
2). Quantity A < Quantity B
3). Quantity A ≥ Quantity B
4). Quantity A ≤ Quantity B
1 answers
Quantity A:
The cost price of products = Rs.300
Gain % = 20%
Selling price = Rs.360
Let marked price be Rs.a.
Discount is 10% on marked price.
90% of a = 360
a = (360 × 100)/90
a = 3600/9
a = 400
The marked price of product is Rs.400
Quantity B:
Ram has 30 storybooks.
Some sold at 2% profit and some at 6%.
In whole transaction he had 4% profit.
The cost price of a storybook is Rs.120
Gain % = 4%
Cost price of 30 storybooks = 30 × 120 = 3600
Gain % = [(SP – CP)/ CP] × 100
All Gain percentage are given,
(Number of books sold at 2%)/(number of books sold at 6%) = (6 – 4)/(4 – 2) = 2/2 = 1/1
Number of books sold at 2% = number of books sold at 6% = 30/2 = 15
Cost price of 15 books = 15 × 120 = 1800
Selling price of 15 books at 6% =
= [(100 + 6)/100] × 1800
= 1908
Profit amount of 15 books with 6% gain =
= 1908 – 1800
= 108
From above solution,
Relation between Quantity A > Quantity B is established.