An accountant makes a calculation error. He multiplies earnings of the company with 1/4
instead of 2/3 to calculate the share of one of the partners. What is the % error in his
calculation?
Answers
Step-by-step explanation:
so let earnings be = x
and he multiplied it with = 1/4 × x = x/4
and should be multiplied by = 2/3 ×x = 2x/3
and their difference
= 2x/3 - x/4 = 8x-3x/12
= 5x/12
now to find percentage change
(5x/12)/(2x/3) × 100
= 62.5% answer
Therefore the error in his calculation is 62.5 %.
An accountant makes a circulation error. He multiplies earnings of the company with 1/4
instead of 2/3 to calculate the share of one of the partners.
We have to find the error in his calculation.
Let x be the earnings of company.
Error value found by accountant = x/4
But the accurate value should be = 2x/3
now, error in the calculation = (error value - accurate value)/accurate value × 100
= (x/4 - 2x/3)/(2x/3) × 100
= (3x - 8x)/(12 × 2x/3) × 100
= (-5x)/(8x) × 100
= -500/8
= -62.5 %
[ negative sign indicate error value is 62.5 % less of accurate value ]