Subject
Quantitative Aptitude
Topic
Percentage
By what quantity the use of coal is to be reduced to keep one’s family budget same when the price of coal is increased by 50%?
By what quantity the use of coal is to be reduced to keep one’s family budget same when the price of coal is increased by 50%?
ক)
25%খ)
20%গ)
33.33%ঘ)
15%ঙ)
66.66%Explanation
Let the initial coal used by family be denoted by X units and the initial cost of coal be Rs. Y per unit. Hence, initial expenditure of family = Rs. XY According to question, New cost of coal per unit = Y + 0.5Y = Rs. 1.5Y Let the new consumption of coal be X’. ∴ New expenditure = Rs. 1.5YX’ Since, the expenditure has to be same, hence ⇒ XY = 1.5X’Y ∴ Change in consumption = X – X’ = X/3 Hence, percentage change in consumption reduced = 33.33%Related questions
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