If I would have purchased 11 articles for Rs 10 and sold all the artic

1.	If I would have purchased 11 articles for Rs 10 and sold all the articles at the rate of Rs 11 for 10, the profit per cent would have been (a) 10% (b) 11% (c) 21% (d) 100%
Answer» (c) 21% C.P. of 11 articles = Rs 10 C.P. of 1 article = Rs \(\frac{10}{11}\) S.P. of 10 articles = Rs 11 \(\Rightarrow\) S.P. of 1 article = Rs \(\frac{11}{10}\) \(\therefore\) Profit % = \(\frac{\frac{11}{10}-\frac{10}{11}}{\frac{10}{11}}\)x 100 = \(\frac{\frac{121-100}{110}}{\frac{10}{11}}\)x 100 = \(\frac{21\times11}{110\times10}\) x 100 = 21%

If I would have purchased 11 articles for Rs 10 and sold all the articles at the rate of Rs 11 for 10, the profit per cent would have been (a) 10% (b) 11% (c) 21% (d) 100%

Answer»

(c) 21%

C.P. of 11 articles = Rs 10

C.P. of 1 article = Rs \(\frac{10}{11}\)

S.P. of 10 articles = Rs 11

\(\Rightarrow\) S.P. of 1 article = Rs \(\frac{11}{10}\)

\(\therefore\) Profit % = \(\frac{\frac{11}{10}-\frac{10}{11}}{\frac{10}{11}}\)x 100 = \(\frac{\frac{121-100}{110}}{\frac{10}{11}}\)x 100

= \(\frac{21\times11}{110\times10}\) x 100 = 21%