Divide rs. 70200 between three partners with following ratio. A. 1:2:3...
Solution:
To divide Rs. 70200 between three partners, we need to determine the amount each partner will receive based on the given ratios.
A. Ratio 1:2:3
To divide the amount according to the ratio 1:2:3, we need to first find the total parts in the ratio. The total parts in this case would be 1+2+3 = 6.
Now, we can distribute the total amount among the partners based on their respective shares in the ratio.
Partner A's share = (1/6) * Rs. 70200 = Rs. 11700
Partner B's share = (2/6) * Rs. 70200 = Rs. 23400
Partner C's share = (3/6) * Rs. 70200 = Rs. 35100
Therefore, Partner A will receive Rs. 11700, Partner B will receive Rs. 23400, and Partner C will receive Rs. 35100.
B. Ratio 1/3:1/2:1/5
To divide the amount according to the ratio 1/3:1/2:1/5, we need to first find the least common multiple (LCM) of the denominators, which is 30.
Now, we can convert the ratio into a common denominator of 30.
Partner A's share = (1/3) * (30/1) * Rs. 70200 = Rs. 7020
Partner B's share = (1/2) * (30/1) * Rs. 70200 = Rs. 10530
Partner C's share = (1/5) * (30/1) * Rs. 70200 = Rs. 4200
Therefore, Partner A will receive Rs. 7020, Partner B will receive Rs. 10530, and Partner C will receive Rs. 4200.
C. a/2 = b/3 = c
In this case, the given ratio is in terms of variables a, b, and c. Since no specific values are given for a, b, and c, we cannot determine the exact amounts each partner will receive.
D. 3a = 2b = 4c
Similarly, in this case, the given ratio is in terms of variables a, b, and c. Without specific values for a, b, and c, we cannot determine the exact amounts each partner will receive.
Summary:
- For ratio 1:2:3, Partner A will receive Rs. 11700, Partner B will receive Rs. 23400, and Partner C will receive Rs. 35100.
- For ratio 1/3:1/2:1/5, Partner A will receive Rs. 7020, Partner B will receive Rs. 10530, and Partner C will receive Rs. 4200.
- For ratios involving variables (a/2=b/3=c or 3a=2b=4c), without specific values for the variables, we cannot determine the exact amounts each partner will receive.