Question

0. A tape-recorder is sold for 2,760 at a gain
of 15% and a C.D. player is sold for 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

The first tape recorder :

• SP = 2760
• Gain % 15

CP = $\left\lceil\frac{100×SP}{100+Gain}\right\rceil$

$\left\lceil\frac{100×2760}{100×115}\right\rceil$

$\left\lceil\frac{20×2760}{23}\right\rceil$

$\left\lceil\frac{55,200}{23}\right\rceil$

= 2,400

the C.P. of the C.D. player.

$\left\lceil\frac{100}{100-loss×Sp}\right\rceil$

$\left\lceil\frac{100}{100-10×3240}\right\rceil$

100 × 36

3600

the total C.P. of both.

2,760 + 3600

6000

the total S.P. of both.

2,760 + 3240 = 6000

the gain % or the loss% on the whole.

• The CP = SP so no gain no loss