Cost of production of item I by company 'F' is what percent of the cost of production of item II by company 'D'?

Question

Question

The following table shows the details of seven companies (A-G) about

(i) The percentage cost distribution of production of two items I and II,

(ii) Ratio of cost of production between items I and II, and

(iii) Percentage profit earned for the items I and II.

Cost of the production (both items together) by seven companies is Rs. 50 crores.

In accordance with the data in the table, answer the questions:

Company-wise Distribution of Production Cost and Profit

Company	Percentage Cost of Production of Item I and Item II	Ratio of Production Cost		Percentage Profit Earned
Company	Percentage Cost of Production of Item I and Item II	Item I	Item II	Item I	Item II
A	15	2	3	25	20
B	11	3	2	32	35
C	22	4	1	20	22
D	8	3	5	15	25
E	27	5	3	28	30
F	5	1	4	35	25
G	12	1	2	30	24

This question was previously asked in

UGC NET Paper 1: Held on 9th July 2022 Shift 2

Answer 1

Given:

Cost of total production of both items together by seven companies = Rs. 25 crores

Ratio of production between item and II of company D = 3:5

Ratio of production between item I and II of company F = 1:4

Formula Used:

Required percentage = [(Cost of production of item I by company F)/ (Cost of production

Calculation:

Cost of total production of both items together by seven companies is Rs. 25 crores

Cost of total production of company D = 8% of 50 crore

Now, cost of production of item II by company D is,

(8% of 50 crore) x 5/8

Cost of total production of company F = 5% of 50 crore

Now, cost of production of item by company F is,

⇒(5% of 50 crore) × 1/5

Required percentage = [(Cost of production of item I by company F)/ (Cost of production

of item II by company D)] × 100 {[(5% of 50 crore) x 1/5]/[(8% of 50 crore) x 5/8 x 100

[(5 x 1/5)/(8 x 5/8)] × 100

= (1/5) x 100 = 20%

Required percentage is 20%.

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