# 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?

A. Rs. 8000

B. Rs. 7000

C. Rs. 9000

D. Rs. 6000

**Answer: Option A **

__Solution(By Examveda Team)__

Narayan's saving and rent = 1000 + 1800 = Rs. 2800Let 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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Related Questions on Percentage

A. $$\frac{1}{4}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

solution:

assume total income=X

X - (30% of X) - (50 % of (X- 30% of X)) - 1000=2800

by solving this we get ,

X=8000

solution:

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))

check option method

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

i can't understand