Question
Priya spends 35% of her income on house rent. From
what’s left, she uses 25% for groceries and 50% for travel. The rest is her savings. If the difference between the amount she spends on rent and what she saves is Rs. 2100, what is her income?Solution
Let Priya’s income be Rs. 100x Rent = 35% of income = 35x Remaining income = 65x Savings = 65x × (1 - 0.25 - 0.50) = 65x × 0.25 = 16.25x Difference = 35x - 16.25x = 18.75x So, 18.75x = 2100 Or, x = 112 Income = 100x = 100 × 112 = Rs.11,200
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