Four persons A,B,C and D share their prize amount of Rs. 1,00,000 in such a way that four times the A's, three times the B's, two times the C's and D's prize shares are equal. The sum of prize amounts of A and D is :
Answers
Answer:
Four persons A,B,C and D share their prize amount of Rs. 1,00,000 in such a way that four times the A's, three times the B's, two times the C's and D's prize shares are equal. The sum of prize amounts of A and D is : Rs 60000
Step-by-step explanation:
4A = 3B = 2C = D
=> A = D/4
=> B = D/3
=> C = D/2
Let say D Share = 12S Rs
C Sharea = 12S/2 = 6S Rs
B Share = 12S/3 = 4S Rs
A Share = 12S/4 = 3S Rs
Total Share = 12S + 6S + 4S + 3S = 25S Rs
25S = 100000
=> S = 4000
A + D = 3S + 12S = 15S
A + D Amount = 15 * 4000 = Rs 60000
Answer:
Rs. 60,000
Step-by-step explanation:
From the conditions given n the question, the following equation can be concluded:
4A = 3B = 2C = D
Let's take D as independent and assume that he shares 12K Rs.(Herewe have taken 12 because it is the LCM of 4,3 and 2)
According to (1) C shares 6k
B shares 4k and A shares 3K Rupees.
Total = 12k + 6k + 4k + 3k = 25k
25k = 100000
k = 4000
Total amount of A and D = 12k + 3k =15k
15*4000 = 60000