Question
If an article is marked 60% above the cost price. If
discount of x% is given on the marked price of the article then final profit of 12% is obtained. Now if CP of a new article is Rs.120 and x% profit is desired then what should be the selling price of that new article?Solution
Let CP = 100 and MP = 160 SP = 160 × (100 – x)/100 SP = (8/5) × (100 – x) SP = 160 - 8x/5 According to question, => (160 – 8x/5) × 100/112 = 100 => (160 – 8x/5) = 112 => x = 30% Now, => SP = (130/100) × 120 => SP = Rs. 156 Alternate method: => +60 – x – (60x/100) = +12 => -160x/100 = - 48 => x = 30% Now, => SP = (130/100) × 120 => SP = Rs. 156
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