Subject
Quantitative Aptitude
Topic
Profit & Loss
Wayne has a weighing machine that shows 20% more weight than the actual. At what percent more than the cost price should he sell so as to make a profit of 35%?
Wayne has a weighing machine that shows 20% more weight than the actual. At what percent more than the cost price should he sell so as to make a profit of 35%?
ক)
11.25%খ)
12.5%গ)
15%ঘ)
17.5%ঙ)
35% profit cannot be achievedExplanation
The weighing machine shows a 20% increased weight. Suppose Wayne sells weight N units of a commodity for which cost price per unit is T. If N units weight is measured, the weight machine will show = [N + N × (20/100)] units = 1.2N units Because of this fault, Wayne will sell N units, but will take price of 1.2N units. Cost price for Wayne = N units × Rs. T per unit = Rs. NT Suppose Wayne sells at P percent more than cost price. We know, Selling Price = Cost Price × (1 + (Profit Percentage)/100) Selling Price of one unit Selling Price of 1.2N units For profit to be 35%, Selling Price of N units P = 100 × (1.125-1)= 12.5 ∴ To make a profit of 35%, commodities should be sold at 12.5% more than cost price.Related questions
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