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A. 100:131
B. 100:151
C. 100:161
D. 100:181
E. None of these
Sol. Lets assume no. of boys = 4X
And girls = 7X
Ratio = 4X×(125/100) : 7X×(115/100) = 100:161
2. Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1 ?
A. 1 hour
B. 2 hour
C. 3 hour
D. 4 hour
E. None of these
Sol. Let height of both candles is ‘h’
And let after ’t’ times ratio between the height be 2:1
h – t×h/6 : h – t×h/4 = 2:1
t = 3.
3. The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio becomes 1:2. Find the sum of the two numbers?
A. 9
B. 10.5
C. 11.5
D. 12
E. None of these
Sol. (3x – 3)/(4x – 3) = 1/2
x = 1.5
sum of the numbers = 7×1.5 = 10.5
4. A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then find the total amount in rupees.
A. 220
B. 240
C. 260
D. 280
E. None of these
Sol. Value is given in the ratio 8:4:2.
(8x/0.25) + (4x/0.5) + (2x/1) = 840.
Solving, X = 20
Total amount = 14×20 = 280.
5. The income of Neha and Hitesh are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
A. 4000, 6000
B. 4000, 5000
C. 5000, 4000
D. 5000, 6000
E. None of these
Sol. 4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000.
6. Two numbers are in the ratio of 5:6 and if 4 is added to the first number and 4 is subtracted from the second number then the ratio becomes 3:2. Find the difference between two numbers.
A. 2.5
B. 3.5
C. 4.5
D. 6.5
E. None of these
Sol. Let the numbers be 5x and 6x.
Then, (5x + 4)/ (6x -4) = 3/2
Solving, x = 2.5
7. The sum of three numbers is 980. If the ratio between first and second number is 3:4 and that of second and third is 3:7. Find the difference between first and last number.
A. 380
B. 360
C. 340
D. 400
E. None of these
Sol. Firstly ratio between three numbers is 9:12:28
According to th question,
49x = 980
Solving, x = 20.
Difference between numbers = 19×20 = 380.
8. The ratio between number of girls and boys in a school is 5: 6. If 40 percent of the boys and 20 percent of the girls are scholarship holders, what percentage of the students does not get scholarship?
A. 68%
B. 69%
C. 71%
D. 80%
E. None of these
Sol. Lets assume the no. of girls be 5X
And no. of boys be 6X
Girls that don’t get scholarship = 5X × 80/100 = 4X
And boys that don’t get scholarship = 6X × 60/100 = 3.6X
Percentage students that didn’t get scholarship = (7.6X/11X)×100 = 69 (approx.)
9. If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number.
A. 1:3
B. 1:2
C. 1:1
D. 2:3
E. None of these
Sol. Lets assume the numbers to be a, b.
According to the question,
[ b – (40/100)a] = (3/5)b.
So we get a = b.
Thus, ratio = 1:1.
10. One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul.
A. 1200
B. 1800
C. 1600
D. 2000
E. None of these
Sol. 4x and 5x is the last year salry of rahul and rohit respectively
Rahul last year to rahul current year = 2/3
Rohit last year to rohit current year = 3/5
Current of rahul + current of rohit = 4300
(3/2)×4x + (5/3)×5x = 4300.
X = 300.
So rahul current salary = (3/2) × 4× 300 = 1800.
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