SOLUTION: income of A,b,c are in ratio 5:4:3 and their spending ratio is 8:5:4 if A save rupee 80out of income 1200 find saving of B and C

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Question 1132275: income of A,b,c are in ratio 5:4:3 and their spending ratio is 8:5:4 if A save rupee 80out of income 1200 find saving of B and C
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
.
From the condition, the incomes of A, B and C are 5x, 4x and 3x respectively, where x is the common measure for the three income values.


Similarly, their spendings are 8y, 5y and 4y, respectively, where y is the common measure for the three spending values.


We also are given that


    5x - 8y = 80      (1)     ("A save rupee 80")    and

    5x = 1200.        (2)     ("the income of A is 1200")


From eq(2),  x =  = 240;  then from eq(1)


    y =  =  = 140.



Now saving for B is  4x - 5y = 4*240 - 5*140 = 260.     Answer

    
    saving for B is  3x - 4y = 3*240 - 4*140 = 160.     Answer

Solved.


Answer by greenestamps(13214)   (Show Source): You can put this solution on YOUR website!


A has an income of 1200; and the ratio of incomes is A:B:C = 5:4:3. So B has an income of 960 (4/5 of 1200) and C has an income of 720 (3/5 of 1200).

A saves 80 of his income of 1200, so he spends 1120; and the ratio of spending is A:B:C = 8:5:4. So B spends 700 (5/8 of 1120) and C spends 560 (4/8 of 1120).

So B's saving is 960-700 = 260; C's saving is 720-560 = 160.
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