Question

A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10%. Find : (i) the C.P. of the tape-recorder. (ii) the C.P. of the C.D. player. (iii) the total C.P. of both. (iv) the total S.P. of both. (v) the gain % or the loss% on the whole.

Answer 1

S.P. of tape-recorder =Rs.2,760
Gain = 15%
(i) C.P. = $\frac{100\times S.P.}{115}[C.P.=\frac{100\times S.P.}{(100+Gain)}]$
= $\frac{100\times 2760}{115}=\frac{20\times 2760}{23}=20\times 120=Rs.2400$
(ii) S.P. of C.D. Player =Rs. 3,240
$[C.P.=\frac{100}{(100-loss)}\times S.P]$
= $\frac{100}{(100-10)}\times 3240=\frac{100}{90}\times 3240=100\times 36=Rs.3600$
(iii) Total C.P. of both = Rs. 2400 + Rs. 3600 = Rs. 6000
(iv) Total S.P. of both = Rs. 2760+ Rs. 3240 = Rs. 6000
(v) Since S.P. = C.P. there is no gain and no loss on the whole.