In winters, the meter scale of a cloth merchant shrinks by 10% of its

1.	In winters, the meter scale of a cloth merchant shrinks by 10% of its actual length. If the meter scale in its regular condition was rigged to measure 10% more than it is supposed to measure, what is the profit / loss percent the cloth merchant makes in winter, if he sell goods at the rate at which he purchase?1). 1.01%2). 0.10%3). 1.10%4). 1.00%
Answer» A meter SCALE is SUPPOSED to measure 100cm. After rigging, the meter scale would be measuring 110 cm. In winter, the scale shrinks by 10% and thus would measure just 110 × 0.9 = 99 cm. The CLOTH merchant would charge for 100cm (as the scale would still READ 100) but actually sell just 99 cm. ∴ He would make a profit of $(\frac{1}{{99}} \times 100 = 1.01\%)$

In winters, the meter scale of a cloth merchant shrinks by 10% of its actual length. If the meter scale in its regular condition was rigged to measure 10% more than it is supposed to measure, what is the profit / loss percent the cloth merchant makes in winter, if he sell goods at the rate at which he purchase?1). 1.01%2). 0.10%3). 1.10%4). 1.00%

Answer»

A meter SCALE is SUPPOSED to measure 100cm.

After rigging, the meter scale would be measuring 110 cm.

In winter, the scale shrinks by 10% and thus would measure just 110 × 0.9 = 99 cm.

The CLOTH merchant would charge for 100cm (as the scale would still READ 100) but actually sell just 99 cm.

∴ He would make a profit of $(\frac{1}{{99}} \times 100 = 1.01\%)$

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