Question

Find the cost price, if : (i) S.P. =Rs. 1,680 and profit = 12% (ii) S.P. = Rs. 1,128 and loss = 6%

Answer 1

(i) S.P. = Rs. 1,128, Profit = 12 %
C.P. = $\frac{100}{100+profit}\times$ S.P.
$\therefore C.P.=\frac{100}{(100+12)}\times 1680$
= $\frac{100\times 1680}{12}=\frac{25\times 1680}{28}=25\times 60=Rs.1500$
(ii) S.P. = Rs. 1,128, Loss 6%
C.P. = $\frac{100}{(100-loss)}\times S.P.$
$\therefore C.P.=\frac{100\times 1128}{(100-6)}$ = $\frac{100\times 1128}{94}=100\times 12$
= Rs. 1200