Question

A dishonest dealer sells his goods at $10\%$ loss on cost price but uses $20\%$ less weight. What is his profit or loss $\%$?

• A. $12\%$
• B. $22.5\%$
• C. $13.9\%$
• D. $12.5$%
• E. None

Answer 1

The correct option is D $12.5$%

Let his good contains $1$ Kg

Its actual weight is $20\%$ of $1000$ gm $=800$ gm

Let C.P. of each gm be Rs. $1$

Then C.P of $800$ gm $=$ Rs. $800$

S.P. $=90\%$ of C.P. of $1$ kg $=$ $\frac{90}{100}\times 1000=$ Rs. $900$

Profit $=900-800=$ Rs. $100$
profit $\%=$ $\frac{100}{800}\times 100=12.5\%$