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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. - Mathematics

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Sum

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

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Solution

S.P. of tape-recorder = Rs. 2,760

Gain = 15%

(i) C.P. =`(100xx"S.P.")/115` ......`["C.P."=(100xx "S.P.")/ ((100+"Gain"))]`

`=(100xx2760)/115=(20xx2760)/23=20xx120="Rs." 2400`

(ii) S.P. of C.D. Player = Rs. 3,240

`["C.P."=100/((100-"loss"))xx"S.P."]`

`=100/((100-10))xx3240`

`=100/90xx3240`

= 100 × 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 loss on the whole.

Concept: To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (B) | Q 10 | Page 93
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