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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 profit earned from selling all articles of type 'Y'?
12000 Rs.
16000 Rs.
20000 Rs.
24000 Rs.
28000 Rs.
Here’s the thing—let’s break it down step by step:
- For each 'Y' article, cost price = 70% of the marked price.
- Let’s call marked price 'M'. Cost price, CP = 0.7M.
- Profit to discount ratio for Y article: 2 : 1. Call profit ‘P’ and discount ‘D’. So, P = 2D.
- Selling price (SP) = Cost price + Profit = 0.7M + 2D
- Also, SP = Marked Price – Discount = M – D.
Set the two expressions for SP equal:
0.7M + 2D = M – D
0.7M + 3D = M
3D = 0.3M ? D = 0.1M
So, P = 2D = 0.2M.
Revenue from 700 articles = 126,000 Rs.
SP per article = 126,000 / 700 = 180 Rs.
Now, SP = M – D = M – 0.1M = 0.9M.
So, 0.9M = 180 ? M = 200.
Therefore, Discount D = 0.1M = 20
Profit per article P = 0.2M = 40
Profit from 700 articles = 40 × 700 = 28,000 Rs.
So, here’s the final check:
- Option 5, 28,000 Rs. This is correct.
By: Parvesh Mehta ProfileResourcesReport error
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