If all articles of type 39 X 39 had been sold without allowing any discount then find the profit gen...........

Quantitative Aptitude(IBPS RRB PO) Case Studies

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.

If all articles of type 'X' had been sold without allowing any discount, then find the profit generated by selling all articles of type 'X'?

This questions was previously asked in

RRB PO Prelims (06 Aug, 2023 Shift 1)

View All RRBA Previous Year Papers

36000 Rs.

38000 Rs.

40000 Rs.

42000 Rs

44000 Rs.

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Explanation:

Correct option:4

Solution:-

For the 'X' type article, the cost price (CP) to marked price (MP) ratio is 8:15.

CP=8x , MP=15x, SP=y

Profit is 80% more than the discount.So the ratio of profit to discount=180:100=9:5

(y-8x)/(15x-y)=9/5
y=25/2 x
SP of 1 article=(25/2) x
SP of 600 article=600 * (25/2)x=75000
x=10
that means CP=80 ,SP=125, MP=150
it is given that If all articles of type 'X' had been sold without allowing any discount,
The profit generated by selling one articles of type 'X' =150-80=70
The profit generated by selling all articles of type 'X' =70x600=42000
Hence 42000 is the correct answer.