A vcr and tv were bought for Rs 8,000 each . The shopkeeper made a loss of 4%on the vcr and a profit of 8%on the tv. Find the gain or or loss %on the whole transaction . Class 8 ncert textbook question
Answers
Answer:
≅ 1.65%
Explanation:
S.P of VCR = Rs 8000
S.P of TV = Rs 8000
Let the C.P of VCR = Rs x
Let the C.P of TV = Rs y
VCR:
Loss % = 4%
Loss = 4% of x = (4/100) * x
S.P = C.P - Loss
8000 = x - (4/100) * x
8000 = 96x/100
x = (8000 x 100)/96
= Rs 8333.33
Hence, the C.P of VCR = Rs x = Rs 8333.33
TV:
Profit % = 8%
Profit = 8% of x = (8/100) * y
S.P = C.P - Loss
8000 = y - (8/100) * y
8000 = 108x/100
y = (8000 x 100)/108
= Rs 7407.407
Hence, the C.P of TV = Rs y = Rs 7407.407
Therefore,
C.P of total transaction = The C.P of VCR + The C.P of TV
= Rs 8333.333 + Rs 7407.407
= Rs 15740.74
S.P of total transaction = The C.P of VCR + The C.P of TV
= Rs 8000 + Rs 8000
= Rs 16000
Profit on total transaction = Rs 16000 - Rs 15740.740
= Rs 259.26
Profit percentage on total transaction = (Profit x 100)/C.P
= (259.26 x 100)/15740.74
≅ 1.65%