The monthly income of santhosh and vignesh is Rs. 62500. The income of santhosh and vignesh increased to 20 percent and 15 percent respectively. New income of vignesh is Rs. 1375 more than that of santhosh. What is the new income of vignesh?
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Let the income of Santhosh and Vignesh be S and V,
The monthly income of Santhosh and Vignesh = 62500
S + V = 62500
Santhosh’s income = x; Vignesh’s income = 62500 – x
New income of V = New income of S + 1375
V’s new income = (62500 – x)*115/100
S’s new income = x * 120/100
(62500 – x)* (115/100) = x * (120/100) + 1375
(7187500 – 115x)/100 = (120x/100) + 1375
(7187500 – 115x)/100 = (120x + 137500)/100
(7187500 – 115x) = (120x + 137500)
7187500 – 137500 = 115x + 120x
7050000 = 235x
Santhosh’s income X = (7050000/235) = 30000
Vignesh’s income = 62500 – x = 32500
New Income of Vignesh = 32500*(115/100) = Rs. 37375
The monthly income of Santhosh and Vignesh = 62500
S + V = 62500
Santhosh’s income = x; Vignesh’s income = 62500 – x
New income of V = New income of S + 1375
V’s new income = (62500 – x)*115/100
S’s new income = x * 120/100
(62500 – x)* (115/100) = x * (120/100) + 1375
(7187500 – 115x)/100 = (120x/100) + 1375
(7187500 – 115x)/100 = (120x + 137500)/100
(7187500 – 115x) = (120x + 137500)
7187500 – 137500 = 115x + 120x
7050000 = 235x
Santhosh’s income X = (7050000/235) = 30000
Vignesh’s income = 62500 – x = 32500
New Income of Vignesh = 32500*(115/100) = Rs. 37375
Aimie:
Thanks but is there any shortcut method for this problem?
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