the total income of Vijay and Vipin is rupees 950000 . the percentage of the expenses is 80 and 85 .the ratio of the savings is 6:5 then find a savings of each of them
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Let Vj = Vijay salary =X,,
Then Vp = Vipin salary =950000 - X
Vj's expenses = 0.8X and Vp's expenses = 0.85 ×(950000 - X)
Calculating Vp's expense we get: 807500 - 0.85X
SAVINGS :
Vj's savings =X-0.8X= 0.2X
Vp's svaings= (950000 - X) - (807500 - 0.85X)
This equals => 142500 - 0.15X
Saving ratio= Vj : Vp = 6:5
6 : 5 = 0.2X : (142500 - 0.15X)
0.2X/(142500 - 0.15X) = 6/5
Eliminating the denominators we have:
5(0.2X) = 6(142500 - 0.15X)
X = 855000 - 0.9X
1.9X = 855000
Dividing by 1.9 on both sides we have:
X= 450000
Their savings :
Vijay = 0.2 × 450000= Rs 90000
Vipin = 142500 - 0.15 × 450000=
Rs 75000
Then Vp = Vipin salary =950000 - X
Vj's expenses = 0.8X and Vp's expenses = 0.85 ×(950000 - X)
Calculating Vp's expense we get: 807500 - 0.85X
SAVINGS :
Vj's savings =X-0.8X= 0.2X
Vp's svaings= (950000 - X) - (807500 - 0.85X)
This equals => 142500 - 0.15X
Saving ratio= Vj : Vp = 6:5
6 : 5 = 0.2X : (142500 - 0.15X)
0.2X/(142500 - 0.15X) = 6/5
Eliminating the denominators we have:
5(0.2X) = 6(142500 - 0.15X)
X = 855000 - 0.9X
1.9X = 855000
Dividing by 1.9 on both sides we have:
X= 450000
Their savings :
Vijay = 0.2 × 450000= Rs 90000
Vipin = 142500 - 0.15 × 450000=
Rs 75000
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2
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