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Riya spends 20% of her monthly salary on rent. From the remaining, she spends Rs.5000 on flight ticket. Out of the remaining she invested the amount in insurance premiums and savings in the ratio of 3: 2. If the amount spent on rent is Rs. 4000 less than the amount invested in insurance premiums, then find the monthly salary of Riya.
Rs. 35000
Rs. 45000
Rs. 25000
Rs. 20000
Rs. 15000
Let's break down the problem:
- Let monthly salary = Rs. X
- Rent = 20% of X
- Remaining after rent = 80% of X
- Flight ticket = Rs. 5000
- Remaining = 0.8X - 5000
- Insurance : Savings = 3:2
- Amount for insurance = (3/5) × (0.8X - 5000)
- Amount for savings = (2/5) × (0.8X - 5000)
- Rent is Rs. 4000 less than insurance:
0.2X = (3/5) × (0.8X - 5000) - 4000
Let’s solve it:
0.2X + 4000 = (3/5) × (0.8X - 5000)
0.2X + 4000 = (2.4X - 15000)/5
0.2X + 4000 = 0.48X - 3000
4000 + 3000 = 0.48X - 0.2X
7000 = 0.28X
X = 7000 / 0.28
X = 25,000
- Option:1, Rs. 35000: Too high.
- Option:2, Rs. 45000: Too high.
- Option:3, Rs. 25000: Correct answer.
- Option:4, Rs. 20000: Too low.
- Option:5, Rs. 15000: Too low.
Correct answer is Option 3: Rs. 25,000.
By: Parvesh Mehta ProfileResourcesReport error
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