Jitendra lent 7680 to three persons x, y, z at 15%, 12% and 10% respectively. If at the end of the year, he received a total profit of 960 as interest, find the amount given to x.
Answers
Given : Jitendra lent 7680 to three persons x, y, z at 15%, 12% and 10% respectively. at the end of the year, he received a total profit of 960 as interest,
To Find : amount lent to x?
Solution:
SI = P * R * T /100
Question lakes some details
x * 15 * 1/100 + y * 12 * 1/100 + z * 10*1/100 = 960
=> x(0.15) + y(0.12) + z(0.1) = 960
x + y + z = 7680
Two equation 3 Variables:
Not Possible to solve
Assume z = 1000
=> 0.15x + 0.12y = 860
x + y = 6680
=> 0.03x = 58.4
=> x= 1,946.7
Assume z = 2000
=> 0.15x + 0.12y = 760
x + y = 5680
=> 0.03x = 78.4
=> x= 2,613.33
Hence lot many possible solutions
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