10. 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.
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In the case of first tape – recorder :
S.P. = Rs. 990
Gain = 10%
C.P. = 100/(100 + gain%) × S.P.
= 100/(100 + 10) × Rs. 990 = Rs. 100/110 × 990
= Rs. 100 × 9 = Rs. 900
In the case of the second tape – recorder :
S.P. = Rs. 990
Loss = 10%
C.P. = 100/(100 – Loss%) × S.P.
= 100/ (100 – 10) × Rs. 990 = 100/90 × 990
= 100 × 11 = Rs. 1100
Total C.P. of both the tape–recorders
= Rs. 900 + Rs. 1100 = Rs. 2000
Total S.P. of both the tape–recorders
= Rs. 990 + Rs. 990 = Rs. 1980
Loss on the whole transaction
= C.P. – S.P. = Rs. 2000 – Rs. 1980
= Rs. 20
Loss % = Loss/C.P. × 100
= Rs. 20/Rs. 2000 × 100 = 2/2 % = 1%
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