A person bought a plot for ₹1,20,000. He sold part of this plot at a loss of 10%. At what profit percent should he sell the remaining plot to earn a profit of 27% on the whole transaction?
Given:
Total CP = ₹1,20,000
Part 1: sold at 10% loss.
Part 2: Remaining sold at x% profit.
Overall Target: 27% profit.
Concept Used:
Weighted Average Method.
Solution:
Let the profit percentage on the remaining part be x.
Equation:
Multiply the entire equation by 5 to remove denominators:
So the correct answer is (a)
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150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishA person bought a plot for ₹1,20,000. He sold part of this plot at a loss of 10%. At what profit percent should he sell the remaining plot to earn a profit of 27% on the whole transaction?
Atul bought a bicycle at three-fourth price of its marked price and sold it at 20% more than its marked price. What will be the profit percentage?
Anil sells two pens at the rate of ₹1500 per pen. He earns a profit of 25 percent on one pen and loses 25 percent on the other pen. What will be the total profit or loss in whole transaction?
Pawan purchased two tables, first for ₹10000 and the second for ₹12000. He sold both the tables, first one at the profit of 10 percent and the second at a loss of 20 percent. What is the overall profit or loss?
On a particular day each of Danish, Ethan and Farhan sold three types of pens from their respective shops. Danish and Ethan sold an identical number of pens of Type A while Farhan sold twice as many pens of Type A as Danish and Ethan together sold. The ratio of the numbers of pens of Type B sold by Danish, Ethan and Farhan was 3 : 4 :1 respectively, and Ethan and Farhan sold an identical number of pens of Type C each, while Danish sold thrice as many pens of Type C as each of Ethan and Farhan sold. The three sellers sold each of the types of pens at different prices per unit.
Assertion (A): It is possible that Danish sold each pen of Type A at a loss of Rs 2, each pen of Type B at a profit of Rs 4, and each pen of Type C at a loss of Rs 5 and made an overall profit of Rs 144; Ethan sold each pen of Type A at a profit of Rs 5, each pen of Type B at a loss of Re 1, and each pen of Type C at a profit of Rs 7 and made an overall profit of Rs 13; and Farhan sold each pen of Type A at a profit of Re 3, each pen of Type B at a profit of Re 4, and each pen of Type C at a loss of Rs 6 and made an overall profit of Rs 240.
Reason (R): Framing and solving the three possible linear equations we will find that we get a unique solution.
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