SRCC GBO 2022 Question Paper

Total Production of Rice in 2016 and 2018 = 320 + 280 = 600.
Total Production of Maize in 2015 and 2019 = 250 + 500 = 750. 
The required ratio = 600:750 = 4:5.

Production of Wheat in 2015, 2017 and 2019 is 240, 330 and 360 respectively.
The average will be: $$\frac{240+330+360}{3}=310$$.
Production of Maize in2018 = 400.
The difference is 400 - 310 = 90. 
The percentage by which the average is less than the Maize production = $$\frac{90}{400}\times\ 100\ =\ 22.5\%$$.

Percentage by which wheat production increased in 2018 over 2017 = $$\frac{400-330}{330}\times\ 100\ =\ 21.21\%$$.
Production in 2020 = (1 + 21.21%)*Production in 2019 = 1.2121*360 = 436.36.

16.5% of this production is exported which means that 83.5% was left for domestic use i.e. 0.835*436.36 = 364.36 $$\approx\ $$ 364.4

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 = 71.2

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 B produced by company X is 468.

The number of units of product E produced by company Y is 585.

The ratio is 468:585 = 4:5

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 A produced by company X is 450.

40% of the number of units of products D produced by company Y is $$\frac{40}{100}$$*910 = 364

450 - 364 = 86

So, k is 86. 

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 average number of units of products A, B and E produced by company Y is $$\frac{(540+360+585)}{3}$$ = 495

The average number of units of products C and D produced by company X is $$\frac{(550+650)}{2}$$ = 600

The average number of units of products A, B and E produced by company Y is 105 less than the average number of units of products C and D produced by company X.

That is $$\frac{105}{600}$$*100 = 17.5%

Profit earned by the company in 2015 and 2017 together = (560 + 655) - (440 + 600) = 175 and,
loss incurred in 2016 and 2019 together = (560 + 500) - (400 + 450) = 210.
The required ratio = 175:210 = 5:6.

Income for 2016 and 2019 together = 400 + 450 = 850.
Expenditures for 2016 and 2019 together = 560 + 500 = 1060.
Loss incurred = 1060 - 850 = 210.
Loss% = $$\frac{210}{1060}\times\ 100=\frac{2100}{106}=\frac{1050}{53}=19.81\%$$.