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Q.

An incentive amount of Rs 58000 was divided among three sales persons Lovleen, Ankita, and Arun. Lovleen got 80 percent of what Ankita got and Ankita got 25 percent of what Arun got. Find the amount that each sales person got. Also find what percentage of the incentive amount that Ankita received.


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a

17.24%

b

18.24%

c

19.24%

d

20.24%

answer is A.

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Detailed Solution

Concept-
Here, we will first assume that Arun's share is equal to x. Using the information provided, we will then build a linear equation in one variable, solve it to determine the value of x, and then obtain the necessary results.
Ankita received 25 percent of Arun's share, assuming that Arun had a stake of x. The share of Ankita is therefore supplied by:
Ankita's portion : https://lh6.googleusercontent.com/NpVHYegMs1YWEW_lF2UuX3wvhFi3MaX0WlHmepCzvpffTVY7Ibt9CH41BRLZCE4QD9TGhcUxej4cX-x8Y9vzRXmq-27Im84WD9S0kPxEUCHf1nuSgiKwepPDii_AE8SwGY9J8HqpXOhvtmPfWosYjgIt is now established that. 80 percent of what Ankita received went to Lovleen.
Therefore, Lovleen's share is determined as follows: https://lh4.googleusercontent.com/Q7YesxPkV_Se08dOzymlLM9uvS9SzhfPWGuYEGU3enwxMTD9_hv-nSiDofZFeMCRshgRgyMMmrJ3xa4ZADwSoXSyonD5ZxbhJdHBVB0ZiV8jGys28nUxl6JpEjAgd8SCsYCFx6qj7P9GO5-ZqUvhBwGiven that the entire incentive amount is Rs. 58000 at this time This means that each person has Rs 58000 worth of shares in total.
https://lh3.googleusercontent.com/_7FUKTa71qUfrqFwA56rmGkqUdH1nUyzDK201l7Xq1SJqxMZl8upnN02GmZdYmwMFT8l1XfWpE-txMllsg5tht6TzibOMTWOdhKJC1eOzL9xBNTuTnRqkutbfbRLLaCd3tUoyFc43PCPyGnw9BMLFQThus Arun’s share is Rs.40,000
Ankita’s share is = https://lh6.googleusercontent.com/0Ck7LLAbF40jlQEei_csYIDV9tkV8B5kOyga6Dr8FPw0WogTjn0rZ3aI6sER4_bc6zwMS2OdrHTZ0irJik0YmbFSqoRaTwlYyTOfepEkJqbsEhuBX1J1WknBiDb9zwnA4SBl_VkHgPYfyyNAJtKgBQLovleen’s share is = https://lh3.googleusercontent.com/hGluHoAPbpIB_lQym45v4Z2gvAeDK-UUYPyRFrl3v5wfPC5EKZT3_uqgswe6C19CSvYj9vH7KGvQ1EplR-pzAy6HkSY3v2eINo4xU0YGtQVP_46FrEBb5oCYVG7lfGlNly3z2FMTIjSal4nha2UUdQhttps://lh3.googleusercontent.com/5TitPpXEEDpV4iqNmRTL4inNVBFFt955KWLoK0_cQHL-ug8-UNMpIdQSOeWZ1e4vJpp-IvDvygvzXIeaqO7_Q5KTCuXPX95tMrbTQcPTmerTCKOkPVl-ThDDP1egzICrR35pztuBs5SlkbkLgKKieQHence, the correct answer is option 1) 17.24%
 
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