Question

A student multiplied a number by 3/5 instead of 5/3 , What is the percentage error in the calculation

a)34%
b)44%
c)54%
d)64%

Answer 1

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

(d) 64%

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$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

• Let the number = x

Actual Number :-

» 5/3 (x)

» 5x/3

Wrong number :-

» 3/5(x)

» 3x/5

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A. T. Q :-

» For finding error we need to subtract the wrong number from the actual number .

» 5x/3 - 3x/5

---------[By taking LCM]

» 25x-9x/15

» 16x/15

[where x can be any any number, let x be 1]

So,

» 16/15

Formula to calculate error percentage:-

Error/TrueValue × 100

» (15/16)/(5/3) × 100

» 16× 3× 100 /15×5

» 16×100/5×5

» 1600/25

» 64 %

-------------[ Answer ]

So, Error percentage is (d) 64%

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Hope it helped

:-)