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A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$.What is the percentage error in the calculation 1). 44%2). 34%3). 54%4). 64% |
Answer» Let X be the multiplicand$\THEREFORE Error = \FRAC{5}{3}x-\frac{3}{5}x$$=\frac{25x-9x}{15}=\frac{16x}{15}$$\thereforePercentage Error $$\frac{16x}{15}\frac{5x}{3}\times100$$=\frac{16x}{15}\times\frac{3}{5x}\times100=64 %$ PERCENTAGE |
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