A dishonest dealer uses a scale of 90 cm instead of a metre scale and

1.	A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price. His profit is(a) 9%(b) 10%(c) 10\(\frac{9}{11}\)%(d) 11\(\frac{1}{9}\)%
Answer» (d) 11\(\frac{1}{9}\)% Let the cost price of the cloth be Rs 100 per metre, i.e., Re 1 per cm. Since the shopkeeper uses 90 cm scale for 100 cm scale, His gain = Cost of 10 cm = Rs 10 \(\therefore\) Gain % = \(\frac{10}{90}\) x 100 = \(\frac{100}{9}\)% = \(11\frac{1}{9}\)%

A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price. His profit is(a) 9%(b) 10%(c) 10\(\frac{9}{11}\)%(d) 11\(\frac{1}{9}\)%

Answer»

(d) 11\(\frac{1}{9}\)%

Let the cost price of the cloth be Rs 100 per metre, i.e., Re 1 per cm.

Since the shopkeeper uses 90 cm scale for 100 cm scale,

His gain = Cost of 10 cm = Rs 10

\(\therefore\) Gain % = \(\frac{10}{90}\) x 100 = \(\frac{100}{9}\)% = \(11\frac{1}{9}\)%