Four persons A, B, C and D have a total amount of Rs.16,000 among them. B has an amount equal to the amount with A and D together. If C has twice as much amount as that of B, then find the amount with C (in Rs.).
Question
Four persons A, B, C and D have a total amount of Rs.16,000 among them. B has an amount equal to the amount with A and D together. If C has twice as much amount as that of B, then find the amount with C (in Rs.).
Solution
Let's solve this step by step:
Step 1: Let's assume the amount with A as 'a', with B as 'b', with C as 'c' and with D as 'd'.
Step 2: According to the problem, B has an amount equal to the amount with A and D together. So, we can write it as: b = a + d ----(Equation 1)
Step 3: It is also given that C has twice as much amount as that of B. So, we can write it as: c = 2b ----(Equation 2)
Step 4: We also know that the total amount among A, B, C and D is Rs.16,000. So, we can write it as: a + b + c + d = 16000 ----(Equation 3)
Step 5: Now, we can substitute equation 1 and equation 2 in equation 3. So, it becomes: a + (a + d) + 2(a + d) + d = 16000 4a + 4d = 16000 a + d = 4000 ----(Equation 4)
Step 6: From equation 2, we know that c = 2b. But from equation 1, we know that b = a + d. So, substituting b in equation 2, we get: c = 2(a + d) c = 2 * 4000 (from equation 4) c = 8000
So, the amount with C is Rs.8000.
Similar Questions
A sum of money is to be distributed among A,B,C and D in the proportion 5 : 2 : 4 : 3. If C gets Rs.1000 more than D, then what is B’s share?Options :Rs.500Rs.1000Rs.2000None of these
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 ?
A group wanted to renovate their club.Each member contributed an amount equal to twice the number of members in the club.But the government contributed same amount as the number of members.If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members,then they would have Rs.210 less.How many members are there?7151424
Amar, Bhavan Chetan and Dinesh have a total of Rs.150 with them. Amar has one-fourth of the total amount with the others. Find the amount with Amar in Rs.a.30b.20c.25d.37.5
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?
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.