Question

Twenty identical articles are bought at $8$ for Rs. $48$ and all of them are sold at $5$ for Rs. $37.50$. Find the total number of articles bought and sold in order to gain Rs. 675.

Answer 1

C.P. of 8 articles$=48Rs.$

C.P.of 1 article$=\frac{48}{8}=6Rs.$

C.P. of 20 article$=20\times 6=120Rs.$

S.P of 5 article$=37.50Rs.$

S.P. of 1 article$=\frac{37.50}{5}=7.50Rs.$

S.P. of 20 article$=20\times 7.50=150Rs.$

$Profit=S.P-C.P.$

$\Rightarrow 150-120=30Rs.$

If for $30$ Rs profit then the total number of articles sold$=20$

then for $675$ Rs, profit the total number of article sold=$\frac{20}{30}\times 675=450$