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# Ratio & Proportion Questions

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The ratio of ages of two friends is 3:5 and sum of their ages is 80 years. What are their present ages in years?

A10,60

B20,60

C40,30

D30,50

Explanation:

Ratio of friends = 3:5
3a+5a=80
=> a= 10
so their present age are 30, 50

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A and B invest money in the ratio 3:4 and they has loss of Rs.7000 at the end of year. what is the share of loss of B?

ARs.4000

BRs.3000

CRs.7000

DRs.2000

Explanation:

Share of loss of B = 7000 *4/7 = Rs. 4000

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Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A2:5

B3:5

C4:5

D5:3

Explanation:

Lets assume the third number = x
Then, first number = 120% of x = 120x/100 = 6x/5
Second number = 150% of x = 150x/100 = 3x/2
Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5

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Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A2:3:4

B6:7:8

C6:8:9

DNone of these

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
=> (140/100) x 5x , (150/100) x 7x and (175/100) x 8x .
The required ratio = 7x : 21x/2 : 14x.
=> 14x : 21x : 28x
=> 2 : 3 : 4.

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A Product is supported each week by the same three customer service Representatives (CSR's). Last month the first CSR took 450 calls, the second took 350 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three CSR's each increase their work proportionately, how many more calls will the first CSR take this month than last month?

A150

B400

C460

D164

Explanation:

Last month ratio C1 : C2 : C3 = 450 : 350 : 300 = 45 : 35 : 30 => 9 : 7 : 6
This month total calls = 1500
9x + 7x + 6x = 1500
x= 1500/22 = 750/11
C1 ratio = 9 * 750/11 = 613.6 => 614 approximately
C2 ratio = 7 * 750/11 = 477.2
C3 ratio = 6 * 750/11 = 409
Calls first CSR ll take more than last month = 614 - 450 = 164

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Find in what ratio will the total wages of the workers of a factory be increased or decreased. If there be a reduction in the ratio 15:11, and a increment in the wages in the ratio 22:25

A6/5

B5/6

C1/4

D3/4

Explanation:

Given ration of reduction in wage = 15:11
and ratio of increment in wage = 22:25
Total wages ratio = Reduction workers ratio * Increment wage ratio
= (15/11)*(22/25)=6/5
So, Total wages ratio = 6/5

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Rs 5000 was divided among 5 men, 6 women and 5 boys, such that the ratio of the shares of men, women and boys is 5:3:2 what is the share of the boy?

ARs. 200

BRs. 100

CRs. 250

DRs. 150

Explanation:

Given the that ratio is 5:3:2.
Now the share of all boys will be (2/10)*5000=1000
So share of each boy will be: 1000/5= Rs. 200

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Kelly and Chris are moving into a new city. Both of them love books and thus packed several boxes with books. If Chris packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?

A2:3

B3:4

C3:2

DNone of these

Explanation:

If chris packs 60% of the boxes,
So, kelly packs remaining boxes i.e 40%
Therefore, Kelly : Chris = 40% : 60% = 2 : 3

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Sand and cement were mixed in the ratio 3 : 1 to make up 1 tonne. How much sand must be added to make the ratio 6 : 1 ?

A1 tonne.

B750 kg.

C500 kg.

D5 tonne.

ENone of these

Explanation:

Let amount of sand and cement as 3x and x
3x+x = 1000kg
x = 250
Sand : cement => 750 : 250
(750+y)/250 = 6/1
=> y = 750 kg.

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The fourth proportional to 5,6 and 150 is?

A125

B145

C200

D180

Explanation:

Lets assume the fourth proportional = x
5 : 6 :: 150 : x
=> 5x= 6*150
=> x = 6*150/5 = 180

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