Suresh income is 40000 per month is income got increased by 8% simultaneously his expenditure is increased by 12% and his savings is decreased by 4% is initial savings(Rs.)is.
Answers
Answer:
Initial Saving = Rs 10000
Step-by-step explanation:
Income = 40000
Increased income = 40000 * (1.08) = 43200
Let initial expenditure = 100x
Initial Saving = 40000-100x
Later expenditure = 112x ( increased by 12 %)
Later Saving = (40000-100x)(0.96) Decrased by 4 %
Later Saving = Later income - Later Expenditure
Later Saving = 43200 - 112x
43200 - 112x = (40000-100x)(0.96)
43200 - 112x = 38400-96x
4800 = 16x
x = 300
100x = 30000
Initial saving = 40000 - 100x = 40000-30000 = 10000
Answer:
Rs 10000
Step-by-step explanation:
Define x:
Let his expenditure be x
His saving is (4000 - x)
Calculate his new income:
Increase = 8% of 40,000
Increase = 0.08x 40000 = Rs 3200
New income = 40000 + 3200 = Rs 43,200
Calculate his new expenditure:
Increase = 12% of x
Increase = 0.12x
New expenditure = x + 0.12x = 1.12x
Calculate his new saving:
Decrease = 4% of (40000 - x)
Decrease = 0.04(40000 - x) = Rs (1600 - 0.04x)
New Saving = (40000 - x) - (1600 - 0.04x)
New Saving = 40000 - x - 1600 + 0.04x = Rs (38,400 - 0.96x)
Solve x:
1.12x + (38400 - 0.96x) = 43200
1.12x + 38400 - 0.96x = 43200
0.16x = 4800
x = Rs 30,000
Find his initial saving:
Initial saving = (40000 - x)
Initial saving = 40000 - 30000
Initial saving = Rs 10000
Answer: His initial saving is Rs 10000