Question
A woman uses 25% of her salary for house rent, then spends
20% of the remaining amount on grocery, and 30% of the rest on transportation. She manages to save the remaining amount. If she spent Rs. 270 on transportation, what is the amount she saved?Solution
ATQ,
Let the salary be Rs. ‘x’.
House rent = 0.25 × x = Rs. 0.25x
Remaining salary = x – 0.25x = Rs. 0.75x
Grocery expense = 0.2 × 0.75x = Rs. 0.15x
Remaining salary = 0.75x – 0.15x = Rs. 0.6x
Transportation = 0.3 × 0.6x = Rs. 0.18x
ATQ:
0.18x = 270
⇒ x = 1500
Amount saved = x – (0.25x + 0.15x + 0.18x) = 0.42x
⇒ 0.42 × 1500 = Rs. 630
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