Question

Find the profit per cent or loss per cent made in the following case, when the S.P. of 15 identical articles is equal to the C.P. of 20 articles.

• A. Profit = $33\frac{1}{3}$%
• B. Profit = $23\frac{1}{2}$%
• C. Profit = $23\frac{1}{7}$%
• D. Loss = $31\frac{1}{8}$%

Answer 1

Answer: (A)

Profit = $33\frac{1}{3}$%

Let Cost price of $1$ article $=Rs.x$
=> And Cost price of $15$ articles $=Rs.15x$

Given, Selling price of $15$ articles $=$ Cost price of $20$ articles $=Rs.20x$

Now, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=\frac{20x-15x}{15x}\times 100=\frac{5}{15}\times 100=33\frac{1}{3}$ %