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A and B started the business with the investment of 4:5. At the end of one year the total profit is Rs.3300 and B’s profit share is 1500. What is the ratio of the time period of the investment of A and B?
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Investment period of A = x
Investment period of B = y
Profit ratio of A and B = 4 * x: 5 * y
= 4x: 5y
A’s profit share = 3300 – 1500 = 1800
4x/5y = 1800/1500
4x/5y = 6/5
x/y = 3/2
A’s salary is 120% of B’s salary and B spends 60% of his salary for house rent and education fees. If B’s savings is Rs.1800 and A’s expenditure is 40% more than that of B, then what is the saving amount of A?
B’s savings = 1800
B’s expenditure = 60/40 * 1800 = 2700
B’s income = 2700 + 1800 = 4500
A’s income = 120/100 * 4500 = 5400
A’s expenditure = 2700 * 140/100 = 3780
A’s savings = 5400 – 3780 = 1620
The ratio of the cost price of mobile to laptop is 5:9 and the ratio of the cost price of laptop to computer is 3:2. If the computer sells at the profit of 20% and selling price of the computer is Rs.14400, then what is the difference between the cost price of mobile and laptop?
Ratio of the cost price of mobile, laptop and computer = 5: 9: 6
Cost price of computer = 100/120 * 14400 = 12000
Cost price of mobile = 5/6 * 12000 = 10000
Cost price of laptop = 9/6 * 12000 = 18000
Difference = 18000 – 10000 = 8000
A can do the piece of the work in 20 days and B can do the piece of the work in 30 days. A and B started the work and B left the work in 5 days before completion of the work. In how many days the total work is completed?
Work done by A in one day,
A = 1/20
Work done by B in one day,
B = 1/30
Work done by A and B,
x/20 + (x – 5)/30 = 1
3x + 2x – 10 = 60
5x = 70
X = 14 days
Ratio of the speed of the car to bike is 4:3 and the bike travels 40 km less than car in the same time duration. What is the distance travelled by car during that time?
Distance = speed * time
Time = distance/speed
Let the distance travelled by car = d
d/4x = (d – 40)/3x
3d = 4d – 160
d = 160 km
If the bag contains 3 apples and 4 orange, what is the probability of choosing two oranges?
Total fruits = 4 + 3 = 7
Required probability = 4C2/7C2
= 4 * 3/7 * 6
= 2/7
A boat row upstream takes 2 hours to cover the distance of 18 km and it takes same time to cover the distance of 54 km in downstream. What is the speed of boat in still water?
Speed of the upstream = 18/2 = 9 kmph
Speed of the downstream = 54/2 = 27 kmph
Speed of the boat in still water = 1/2 * (downstream speed + upstream speed)
= 1/2 (27 + 9)
= 18 kmph
In how many different ways can the letters of the word “SERIES” be arranged in such a way that the vowels always come together?
Total letters = 6
Total vowels = E, I, E = 3
Required ways = 4! * 3!/2!
= 72
In 90 liters of the mixture of milk and water in the ratio of 7: 3. 20 liters of mixture is taken out and replaced with water. What is the ratio of the milk to water in the final mixture?
Milk = 7/10 * 90 = 63
Water = 3/10 * 90 = 27
Milk in 20 liters of the mixture = 20 * 7/10 = 14
Water in 20 liters of the mixture = 20 * 3/10 = 6
Required ratio = (63 – 14)/(27 – 6 + 20)
= 49/41
If the ratio of the number of red balls and yellow balls is x: 8 and the ratio of the yellow balls to green balls is 4:3. If the total number of balls is 20, then find the value of x?
Ratio of red, yellow and green=4x: 32: 24
=x: 8: 6
x + 8 + 6 = 20
x = 6
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