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# Ratio & Proportion Questions

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A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

ARs. 500

BRs. 1500

CRs. 2000

DNone of these

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then 4x - 3x = 1000

x = 1000.

So B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

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Three sales people are paid commissions in proportion to the amount of their sales, which total $25000,$40000, and $60000 respectively. If a total of$20000 is allocated for these three commissions, what is the amount of the largest commission paid?

A$6,400 B$8,400

C$9,600 D$12,000

Explanation:

The proportion of their commission = 25000:40000:60000
=> 5:8:12
So the largest commission =(12/25)*20000 = \$9600.

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Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?

A57th line

B375th line

C357th line

D380th line

Explanation:

Writing ratio = 100:50= 2:1
Since equal quantities are taken,
Therefore in a given time, first boy will be writing the line number
2/3 * 535
=> 356 2/3 or 357th line.
Hence, both of them shall meet on 357th line.

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Three men rent a farm for Rs. 7000 per annum. A puts 110 cows in the farm for 3 months, B puts 110 cows for 6 months and C puts 440 cows for 3 months. What percentage of the total expenditure should A pay?

A20%

B14.28%

C16.66%

D11.01%

Explanation:

A:B:C=110*3:110*6:440*3 = 3:6:12 = 1:2:4

share of A = 1/(1+2+4) * 7000 = 1000

% expenditure of A = 1000/7000 *100 = 100/7 = 14.28%

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Ten years ago A was half of B's Age. If ratio of their present ages is 3:4 then what is the total of their present ages?

A30 years

B8 years

C35 years

D20 years

Explanation:

Lets say ten years ago A was half of B's age so,take 5 : 10
Now,after 10 years A is 15 and B is 20
15:20 is 3:4 so,combined age is 15+20 = 35

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If shares of two persons in profits are Rs.400 and Rs.600 then ratio of their capitals is

A3:4

B2:3

C4:3

D1:3

Explanation:

Total Profit= Rs. 1000
Ratio=400/600=2:3

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If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?

A30 years

B35 years

C40 years

D25 years

Explanation:

Sum of thier ages is 70 in ratio 4:3
=> 40+30 gives us 70. Wich is 4:3
so, older guy is having 40 Years.

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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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