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Narayan spends 30% of his income on education and 50% of the remaining on food. He gives Rs. 1000 as monthly rent and now has Rs. 1800 left with him. What is his monthly income?
Answer & Solution
Correct Answer:
Option
A
Narayan's saving and rent = 1000 + 1800 = Rs. 2800
Let his monthly income be Rs. 100
30% of his income he spent on education i.e. Rs. 30
Remaining = 100 - 30 = 70
50% of remaining on food = $$\frac{{70 \times 50}}{{100}} = {\text{Rs}}{\text{. 35}}$$
Now, that 35 must be equal to his saving and rent i.e.
35 = 2800 then,
1 = $$\frac{{2800}}{{35}}$$
100 = $$\frac{{2800 \times 100}}{{35}} = {\text{Rs}}{\text{. 8000}}$$
So, his income = Rs. 8000
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Login35%=2800
35.......100
2800.....100/35*2800=8000
30%of 100=30
+50% of 70 =35
=65%
100-65=35
35%=2800
Therefore 8000 is salary
(30% spend on educ) So,70% left
7 1
X × ----- × ----- = 2800
10 2
X = 400×20. Ans ₹ 8000
Then 1st 100-30%=70
Then 70-50% =35
As he save 1800 before giving monthly rent total saving before rent is 1800+1000=2800
Hence 35%=2800
2800/35×100=8000 ans
Is this correct .
assume total income=X
X - (30% of X) - (50 % of (X- 30% of X)) - 1000=2800
by solving this we get ,
X=8000
assume total income=X
X- 30% of X- 50% of X-1000=1800
by solving this we get
X=13000.
((13000-30% of 13000- 50% of 13000-1000=1800))
a} 30% of 8000=2400
8000-2400=5600
50% of 5600= 2800
8000-(2400+2800+1000)=1800
this condition is true then 8000 is right ans