A person spends 40% of his salary on food items, 50% of the remaining on transport, and 30% of the remaining on clothes. After spending on food, transport and clothes, he saves ₹1,260 every month, what is his monthly salary?
- A₹8,000
- B₹6,000
- C₹7,000
- D₹10,000
Solution & Step-by-step Explanation
Let the total monthly salary of the person be x.
Expenditure on food = 40% of x
Remaining salary after food = 100%−40%=60% of x=0.60x
Expenditure on transport = 50% of the remaining
Remaining salary after transport = 50% of (0.60x)=0.50×0.60x=0.30x
Expenditure on clothes = 30% of the remaining
Remaining salary (Savings) = 100%−30%=70% of (0.30x)=0.70×0.30x=0.21x
Given that his savings equal ₹1,260:
0.21x=1260
x=
0.21
1260
x=
21
1260×100
=60×100=₹6,000
Expenditure on food = 40% of x
Remaining salary after food = 100%−40%=60% of x=0.60x
Expenditure on transport = 50% of the remaining
Remaining salary after transport = 50% of (0.60x)=0.50×0.60x=0.30x
Expenditure on clothes = 30% of the remaining
Remaining salary (Savings) = 100%−30%=70% of (0.30x)=0.70×0.30x=0.21x
Given that his savings equal ₹1,260:
0.21x=1260
x=
0.21
1260
x=
21
1260×100
=60×100=₹6,000