Ashish and Subhash started a business with Rs 10000 & Rs 15000 respectively. Ashish withdres N% of his investment after 6 months & Kritika replaced Subhash with N% of Subhash's capital. If at the end of the one year, Kritika's share of profit is Rs 2700 out of the total profit of Rs 11400, then what will be the value of N?
Answers
Given : Ashish and Subhash started a business with Rs 10000 & Rs 15000 respectively. Ashish withdres N% of his investment after 6 months & Kritika replaced Subhash with N% of Subhash's capital.
To find : If at the end of the one year, Kritika's share of profit is Rs 2700 out of the total profit of Rs 11400, then what will be the value of N
Solution:
Ashish invested Rs 10000 Rs
& with draw N % after six months
N % of 10000 = (N/100)10000 = 100N Rs
Ashish effective invesetment = 6 * 10000 + 6(10000 - 100N)
= 120000 - 600N Rs
N % of 15000 = 150N Rs
Kritkia investment = 6 * 150N = 900N Rs
Subhas investment = 6 * 15000 + 6(15000 - 150N) =
= 180000 - 900N Rs
Total investment = 120000 - 600N + 900N + 180000 - 900N
= 300000 - 600N Rs
Kritika's share of profit is Rs 2700 out of the total profit of Rs 11400,
=> 900N / (300000 - 600N) = 2700/11400
=> 9 N / (3000 - 6N) = 27/114
=> N / (3000 - 6N) = 3/114
=> N / (3000 - 6N) = 1/38
=> 38N = 3000 - 6N
=> 44N = 3000
=> N = 3000/44
=> N = 750/11
=> N = 68.18 %
Value of N = 68.18
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