A earns 25%25% more than B. C earns 25%25% more than A. A earns 20%20% more than D. E earns 20%20% more than A. A, B, C, D, and E earn integer amounts less than Rs. 100. What is the total amount earned by all five of them put together?
Question
A earns 25%25% more than B. C earns 25%25% more than A. A earns 20%20% more than D. E earns 20%20% more than A. A, B, C, D, and E earn integer amounts less than Rs. 100. What is the total amount earned by all five of them put together?
Solution
The problem seems to be a bit garbled with the percentages, but I'll assume that A earns 25% more than B, C earns 25% more than A, A earns 20% more than D, and E earns 20% more than A.
Let's start by assigning variables to the amounts earned by each person.
Let's say B earns Rs. x.
- Since A earns 25% more than B, A earns 1.25x.
- Since C earns 25% more than A, C earns 1.25 * 1.25x = 1.5625x.
- Since A earns 20% more than D, D earns 1.25x / 1.2 = 1.04167x.
- Since E earns 20% more than A, E earns 1.2 * 1.25x = 1.5x.
The total amount earned by all five of them put together is x + 1.25x + 1.5625x + 1.04167x + 1.5x = 6.35417x.
Since all of them earn integer amounts less than Rs. 100, we need to find a value of x that makes all of these amounts integers and less than 100.
By trial and error, we can find that x = 16 works.
So, B earns 16, A earns 20, C earns 25, D earns 20, and E earns 24.
The total amount earned by all five of them put together is 16 + 20 + 25 + 20 + 24 = Rs. 105.
However, this is more than Rs. 100. The problem seems to have a contradiction. It's not possible for all of them to earn integer amounts less than Rs. 100 with these conditions.
Similar Questions
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?a.500b.2000c.2500d.1500
A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 7 : 11 respectively. If the share of C is Rs. 1668 more than the share of A, then what is the total amount of money of B and D together ?
Three persons A, B and C together have 51/-. B has 4/- less than A. C has got 5/- less than A. Find the money that C has.a.35/-b.20/-c.15/-d.50/-
A,B,C invests in the ratio 2:4:6.The percentage of return on their investments are in the ratio of 5:6:4.find the total earnings,If B earns Rs.350 more than A.3400525045002550
A, B and C invest Rs. 4000, 5000 and 6000 respectively in a business and A gets 25% of profit for managing the business, the rest of the profit is divided by A, B and C in proportion to their investment. If in a year, A gets Rs. 200 less than B & C together, what was the total profit for that year?OptionsRs. 1500Rs. 1700Rs.2500Rs. 2000
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.