a colour tv and a vcp were sold for rs 12000 each. the tv was sold at a loss of 20% whereas the vcp at a gain 20% . find the gain or the loss percent on the whole transaction.
Answers
Answer:
There is neither loss nor profit .
Step-by-step explanation:
C.P of T.V. = Rs. 12000
C.P of VCP = Rs. 12000
C.P of T.V. and VCP = Rs. 24000
T.V. was sold at a loss of 20% .
Therefore, S.P of T.V. = (1 - r/100) X C.P
= (1 - 20/100) X Rs. 12000
= 80/100 X Rs. 12000
= Rs. 9600
S.P of T.V. = Rs. 9600
VCP was sold at a profit of 20% .
Therefore, S.P of VCP = (1 + r/100) X C.P
= (1 + 20/100) X Rs. 12000
= 120/100 X Rs. 12000
= Rs. 14400
S.P of VCP = Rs. 14400
C.P of T.V. and VCP = Rs. 24000
S.P of T.V. and VCP = Rs. 14400 + Rs. 9600
S.P of T.V. and VCP = Rs. 24000
Since, C.P = S.P
Therefore, there is neither loss nor profit.
Step-by-step explanation:
Sp of tv = 12000
Sp of vcr = 12000
20% = 20/100 = 1/5
For loss in tv
Cp. Sp
5. 4
4 => = 12000
Cp of tv = 5 => 12000*5/4 = 15000
For profit in vcr
Cp. Sp
5. 6
6 => 12000
Cp of vcr = 5 => 12000*5/6 = 10000
Total cp = 15000 + 10000 = 25000
Total sp = 12000 + 12000 = 24000
Loss % = (25000-24000)/25000 × 100 = 1000/250 = 4 %
ALTERNATE METHOD
Calculate effective rate of -20% and 20%
Eff. rate = -20 + 20 + (-20)*20/100 = 0 - 400/100
= - 4%
Negative sign indicates loss