A cloth merchant says that due to slump in market, he sells cloth at 10 % loss, but he uses a i

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7.Profit and Loss

hard

A cloth merchant says that due to slump in the market, he sells cloth at $10 \%$ loss, but he uses a inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale. (in $cm$)

$72.4$

$71.34$

$78.25$

None of these

Here, $x=-10$ and $g=15$

Let, the inaccurate scale length $=y\, cm$

Using the formula, $\frac{100+g}{100+x}=\frac{\text { Correct measure }}{\text { Incorrect measure }}$

we get, $\frac{100+15}{100-10}=\frac{100}{y} \Rightarrow y=\frac{100 \times 90}{115}=78.25 cm$

Actual length of the scale is $78.25 cm$ instead of $1 m$.

Standard 13

Quantitative Aptitude

medium

medium

medium

medium

medium