Mukesh earned ` 4000 per month. From the last month his income increased by 8%. Due to r ise in pr ice, his expenditure increased by 12%and his savi ng decr eased by 4%. Fi nd hi s i ni t i al expenditure and init ial saving.
Answers
Answer:
Initial Expenditure = Rs 3000
Initial Saving = Rs 1000
Step-by-step explanation:
Mukesh earning = Rs 4000 Per month
Let say his expenditure = E Rs
Then his saving = 4000 - E Rs
Earning increased by 8 %
so new Earning = 4000 + (8/100) * 4000 = Rs 4320
Expenditre increased by 12%
New expenditure = E + (12/100)E = 1.12E
Saving Decreased by 4%
New Saving = (4000 - E) - (4/100)(4000-E) = 0.96 * ( 4000 - E)
= 3840 - 0.96 E rs
Saving + Expenditure = Income
=> 1.12 E + 3840 - 0.96 E = 4320
=> 0.16E = 480
=> E = Rs 3000
Initial Expenditure = Rs 3000
Initial Saving = 4000 - 3000 = Rs 1000
Answer:
Income of Mukesh = 4000 per month
Increase in income = 8 % of 4000 = (8/100) * 4000 = 320
New income = 4000 + 320 = 4320 per month
Let Mukesh’s initial expenditure = x
Let Mukesh’s initial savings = y
Mukesh’s Income = Expenditure + Savings
4000 = x + y
=> x + y = 4000 …… eq(1)
Increase in expenditure = 12% of x
Decrease in saving = 4% of y
New expenditure = x + (12/100) * x
New saving = y - (4/100) * y
His new income = New expenditure + New saving
4320 = x + (12/100) * x + y - (4/100) * y
(Taking LCM 100 and multiplying both the sides with 100)
432000 = 100x + 12x + 100y - 4y
=> 112x + 94y = 432000
(Dividing the equation by 16)
7x + 6y = 27000 …….eq(2)
Solving equation (1) and equation (2),
7x + 6y = 27000
x + y = 4000 (multiply by 6)
7x + 6y = 27000
6x + 6y = 24000
(-) (-) (-)
-----------------------------------
x = 3000
From equation (1),
x + y = 4000
3000 + y = 4000
y = 4000 - 3000
y = 1000
Therefore,
Mukesh's initial expenditure (x) = 3000 per month
Mukesh's initial savings (y) = 1000 per month