Question
Sneha spends 30% of her monthly income on groceries and 50%
of the remaining on travel. If she saved Rs. 980 after all expenses, then how much money did she spend on travel?Solution
ATQ,
Let monthly income of Sneha be Rs. x
Amount remaining after spending 30% on groceries = 70% of x = 0.7x
Amount spent on travel = 50% of 0.7x = 0.5 × 0.7x = 0.35x
Savings = x - (0.3x + 0.35x) = 0.35x
Now, 0.35x = 980
⇒ x = 980 / 0.35 = 2800
Amount spent on travel = 0.35 × 2800 = Rs. 980
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