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.
Workspace
NA
SHSTTON
59
Solv. Corr.
47
Solv. In. Corr.
106
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1 M:11 S
Avg. Time
2 / 24
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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?
The proportion of their commission = 25000:40000:60000
=> 5:8:12
So the largest commission =(12/25)*20000 = $9600.
Workspace
NA
SHSTTON
35
Solv. Corr.
36
Solv. In. Corr.
71
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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?
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.
Workspace
NA
SHSTTON
57
Solv. Corr.
37
Solv. In. Corr.
94
Attempted
1 M:47 S
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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?
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
Workspace
NA
SHSTTON
23
Solv. Corr.
38
Solv. In. Corr.
61
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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?
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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