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Directions: Answer the questions based on the information given below.
A textile company manufactures two different types of articles - type 'X' and type 'Y'. For each 'X' type of article, the ratio of cost price to that of marked price is 8 : 15. Percentage by which profit earned on selling an 'X' type of article is 80% more than the discount allowed on the same article. The total revenue generated from selling 600 articles of type 'X' is 75000 Rs. For each 'Y' type of article, the cost price of an article is 70% of the marked price of same article. Ratio between the profit earned on selling 'Y' type of article to that of discount allowed on same article is 2 : 1. The total revenue generated from selling 700 articles of type 'Y' is 126000 Rs.
Find the ratio between the selling price of each 'X' type of article and the cost price of each 'Y' type of article?
15 : 22
21 : 26
25 : 28
27 : 31
31 : 35
Let’s break down the problem in a clear way:
For 'X' type:
- CP : MP = 8 : 15 ? If CP = 8x, then MP = 15x.
- Let discount = d, profit = p.
- Given p is 80% more than d ? p = 1.8d.
- SP = MP - discount = CP + profit ? 15x - d = 8x + p
? 15x - d = 8x + 1.8d ? 7x = 2.8d ? d = (7x/2.8) = 2.5x.
- So, discount = 2.5x, profit = 1.8 × 2.5x = 4.5x.
- SP = CP + profit = 8x + 4.5x = 12.5x.
- Total revenue from 600 articles: 75000 ?
SP (one X) = 75000/600 = 125. So, 12.5x = 125 ? x = 10.
- SP (X) = 125 rs.
For 'Y' type:
- CP = 70% of MP. Let MP = y, CP = 0.7y.
- Ratio profit : discount = 2 : 1 ? Let profit = 2k, discount = k.
- SP = MP - discount = y - k = CP + profit = 0.7y + 2k
? y - k = 0.7y + 2k ? 0.3y = 3k ? k = 0.1y.
- So, discount = 0.1y, profit = 0.2y.
- SP = CP + profit = 0.7y + 0.2y = 0.9y.
- Total revenue from 700 Y articles is 126000 ? SP (one Y) = 126000/700 = 180
So, 0.9y = 180 ? y = 200.
- CP (Y) = 0.7 × 200 = 140 rs.
Required Ratio:
- SP (X) : CP (Y) = 125 : 140 = 25 : 28.
Analysis of Options:
- 1) 15 : 22 ?
- 2) 21 : 26 ?
- 3) 25 : 28
- 4) 27 : 31 ?
- 5) 31 : 35 ?
Correct Answer:
- Option 3 (25 : 28)
By: Parvesh Mehta ProfileResourcesReport error
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