A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.
A. 64%
B. 65%
C. 66%
D. 67%
Solution(By Examveda Team)
Let number is 100.Actual Multiplication = (100 *5)/3 = 500/3.
Student multiplied = (100 *3)/5 = 300/5.
Error,
= (500/3) - (300/5)
= (2500 - 900)/15
= 1600/15
%Error = (1600 *100 *3)/(15*500) = 64%.
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In the last step why you have taken,
1600×100×3/15×500 ???
Let the number be x.
Then, error = 5 x - 3 x = 16 x.
3 5 15
Error% = 16x x 3 x 100 % = 64%
Correct Answer = Option A ( 64% )