Question
The ratio of A's age to B's age is 1:4, and the ratio of
B's age to C's age is 4:5. D is 20 years older than B. Additionally, the ratio of C's age to D's age is 5:8. What is the difference in age between A and D?Solution
Let age of A and B be x and 4x respectively.
Age of C = 4x/4 * 5= 5x
Age of D = 20 + 4x.
Given, ratio of age of C and D is 5:8.
5x/(20+4x) = 5/8
8x = 20 + 4x
4x = 20
x = 5
Age of A = x = 5 years
Age of D = 20 + 4x = 20 + 4 * 5 = 40 years
Required difference = (40 - 5) = 35 years
A spent 35% and 20% of his monthly salary on food and rent, respectively. Of the remaining amount, he gave 15% and 20% to his mother and brother, respec...
The population of a city is decreased by 12% in the first year and then increased by 22% in the second year. Find the population of the city at the end...
- If the price of a wheat bag is reduced by 25%, by what percentage should a family increase its consumption of wheat bags to ensure that their total expendi...
The income of a person is Rs.15000 and his expenditure is Rs.12000. In the next year his income and expenditure is increased by 8% and 13% respectively....
Monthly savings of X is 50% of his monthly income which is Rs. 9000. If ratio of monthly expenditure of Y and X is 15:8 respectively and monthly savings...
- 80% of a number is the same as 64% of another number. If their combined value is 360, find the difference of the numbers.
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 90000 which is 4 times the monthly income of ‘C’. If ‘A’ spends 55% of his...
In a company, 45% of the workforce consists of females. The number of male employees exceeds that of females by 350. What is the equivalent of 40% of th...
In a factory, total number of workers (male + female) are 480. If the number of female workers is 40% more than the number of male workers in the factor...
40% of a neighborhood likes gardening and 60% likes DIY projects. If 25% enjoy both and the other 20 neighbors like neither, find the total number of ne...