Study given information and answer the questions that follows.
Companies X and Y, both produce all the five products A, B, C, D and E. The total units of all these products produced by X and Y together are 5500 and company Y produces 20% more units than company X. Out of the total units of the products produced by company Y, 12% are of the product B and company X produces 30% more units of B than Y. The ratio of the units of product A produced by companies X and Y is 5 : 6 and total number of units of A is 990. The number of units of product D produced by company X is 650 and company Y produces 40% more of it. The company X produces 550 units of C and company Y produces 55 more units of it. The units of the products left with companies X and Y are of product E.
The number of units of product C produced by company Y is what per cent of the total
number of units of product B and E produced by company X (correct to one decimal place)?
The following points are given in the question.
i)The total units of all these products produced by X and Y together are 5500, and company Y produces 20% more units than company X.
Let x be the number of products from company X. Then the number of products from company Y will be x+$$\frac{20}{100}$$ = 1.2x
x+1.2x=2.2x=5500
$$\Rightarrow$$ x =2500
The number of products from company x is 2500, and that from y is 1.2*2500=3000
ii) Out of the total units of the products produced by company Y, 12% are of product B, and company X produces 30% more units of B than Y.
Given that 12% of Y products are B.
12% of 3000 = 360. Company Y produces 360 products of type B.
company X produces 30% more units of B than Y.
Company X produces 468 products of type B.
iii) The ratio of the units of product A produced by companies X and Y is 5: 6, and the total number of units of A is 990.
Let's say the constant proportionality of the given ratio is k. 5k+6k = 11k = 990.
$$\Rightarrow$$ k = 90
Company X produces 450 products of type A, and Company Y produces 540 products of type A.
iv) The number of units of product D produced by company X is 650, and company Y produces 40% more of it.
The number of units of product D produced by company X is 650.
Company Y produces 40% more than company X. That will be 910.
v) company X produces 550 units of C, and Company Y produces 55 more.
Company X produces 550 units of C. And Company Y produces 605(55 more).
vi) The units of the products left with companies X and Y are of product E.
The product left for company X is 382, and that for company Y is 585.
The number of units of product C produced by company Y is 605.
The number of units of product B and E produced by company X is 468+382 = 850
605 is what percent of 850?
$$\frac{605}{850}$$*100 =Â 71.2