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A man spends 76% of his monthly salary (in ₹) on the rent of his house. If every month he also spends ₹813 on his conveyance and ₹2508 on his grocery and saves the remaining ₹687, his monthly salary (in ₹) is:
16700
16611
16621
16617
16700
Calculate the sum of expenses (₹813 + ₹2508) and savings (₹687). This sum (₹4008) equals 24% of the total salary. Simply divide 4008 by 0.24 to get the salary.
Rent = 76% of Salary, Conveyance = ₹813, Grocery = ₹2508, Savings = ₹687
Salary=100%−76%Conveyance+Grocery+Savings
Calculate the sum of expenses (₹813 + ₹2508) and savings (₹687). This sum (₹4008) equals 24% of the total salary. Simply divide 4008 by 0.24 to get the salary.
Many students try to calculate 76% of an assumed value first, rather than identifying that the non-rent expenses and savings together represent the remaining 24% of the total monthly income.
Calculate total non-rent expenditures and savings
The man spends 76% on rent, meaning the remaining 24% of his salary covers conveyance, grocery, and savings. Calculate the total value of this 24% portion: 813+2508+687=4008.
813+2508+687=4008
Set up the salary equation
Since 24% of the Salary (S) is equal to ₹4008, we use the percentage formula: 0.24×S=4008.
S=0.244008
Solve for Salary
Divide the total amount by 0.24: 4008/0.24=400800/24. Dividing 4008 by 24 gives 167. Multiplying by 100 yields 16700.
S=16700
A is correct because the sum of the non-rent spending and savings (₹4008) represents 24% of the total monthly salary, which calculates to exactly ₹16700.
This is a fundamental percentage-based allocation problem often seen in Data Interpretation (DI) sections of bank exams, where finding the 'base value' from a fractional part is key.
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