Question

Thirty articles are bought at Rs.450 each. If one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?

Answer 1

C.P. of one article = Rs. 450
C.P. of 30 articles = Rs. 450 $\times 30$ = Rs. 13500
C.P. of $\frac{1}{3}articles=Rs.450\times \frac{30}{3}=Rs.4500$
Loss of 6%
$\therefore$ S.P. of 10 articles = $\frac{C.P.\times (100-Loss}{100}$
= Rs. $\frac{4500\times (100-6)}{100}$
= Rs. $\frac{4500\times 94}{100}=Rs.4230$
C.P. of remaining articles = Rs. 4500 $\times 20=Rs.9000$
Profit on the whole = 10%
$\therefore$ Total S.P. of 30 articles
= Rs. $\frac{13500\times (100+10)}{100}$
= Rs. $\frac{13500\times 110}{100}=Rs.14850$
$\therefore$ S.P. of remaining 20 articles
= Rs. 14850 -4230 = Rs. 10620
$\therefore$ S.P. of 1 article = Rs. $\frac{10620}{20}$ = Rs. 531