If the ratio of production of 3 different companies a, b & c is 4:7:5 and of overall production last year was 4lac tones and if each companies had an increase of 20% in production level this year what is the production of company b this year?
Answers
Explanation:
Total Production - 400000 Tonnes
A:B:C = 4:7:5 => 100000: 175000:125000 Tonnes by A, B, C
20% increase in production => B produced 175000*1.2 = 210000 = 2.1L Tonnes
The Correct answer is i. 2.1L
Given:
The ratio of production of 3 companies=4:7:5
Overall production last year=4,00,000 tonnes
Increase in production this year=20%
To find:
The production of company B this year
Solution:
The production of company B this year is 2,10,000 tonnes.
We can find the production by following the given steps-
We know that the total production of companies A, B, and C was 4,00,000 tonnes last year.
This level of production was distributed between the three companies in the ratio of 4:7:5.
So, the share of company A in the overall production last year=4/16 of total production
=4/16×4,00,000
=1/4×4,00,000
=1,00,000 tonnes
Similarly, the production of company B last year=7/16 of 4,00,000
=7/16×4,00,000
=1,75,000 tonnes
The production of company C last year=5/15 of 4,00,000
=5/16×4,00,000
=1,25,000 tonnes
Now, each company's level of production increased by 20% this year.
So, the production level of company B this year=Production level of company B last year + 20% of production level of last year
=1,75,000+20% of 1,75,000
=1,75,000+1,75,000/5
=1,75,000+35,000
=2,10,000 tonnes
Therefore, the production of company B this year is 2,10,000 tonnes.