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Suresh spends 30% of his income on petrol, 41 of the remaining income on house rent, and the balance on food. If he spends ₹300 on petrol, then what is his expenditure on house rent?
₹675
₹175
₹525
₹1,000
₹175
Calculate total income from petrol (30% = 300, so 100% = 1000). Remaining income is 1000 - 300 = 700. Rent is 1/4 of 700, which is 175.
Suresh spends 30% of income on petrol, 1/4 of the remaining income on house rent. Expenditure on petrol is ₹300.
Expenditurerent=41×(Income−Expenditurepetrol)
Calculate total income from petrol (30% = 300, so 100% = 1000). Remaining income is 1000 - 300 = 700. Rent is 1/4 of 700, which is 175.
Students often calculate 1/4 of the total income instead of 1/4 of the 'remaining' income.
Calculate Total Income
Given that 30% of income is spent on petrol, which equals ₹300, we find the total income I: 0.30×I=300, so I=1000.
I=0.30300=1000
Find Remaining Income
After spending ₹300 on petrol, the remaining income is 1000−300=700.
Remaining=1000−300=700
Calculate House Rent
Suresh spends 1/4 of the remaining income on house rent.
Rent=41×700=175
B is correct because the expenditure on house rent is calculated as 1/4 of the remaining ₹700, which results in ₹175.
This concept is a classic 'Successive Deduction' problem, frequently appearing in Profit/Loss and Tax slab calculation questions.