Two tables were sold at ₹ 919 each, one at a profit of 10% and other at a loss of 10%. What are the cost price of each of the tables? In this sale, did the sellar make a profit or loss? What is the percentage of profit or loss?
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Two tables were sold at ₹ 919 each, one at a profit of 10% and other at a loss of 10%. What are the cost price of each of the tables? In this sale, did the sellar make a profit or loss? What is the percentage of profit or loss?
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Step-by-step explanation:
cost price of
first table 100/100+10×919
= 835.45
second table
100/100–90 × 919
1021.11
919×2=1838
1021.11+835.45=1856.56
1856.56−1838
= 18.56
seller did loss
The loss persentage is 1.037 approx
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Verified answer
In 1st case
SP = ₹990
P = 10%
Let CP be ₹ 100
P = 10% of 100
= 10/100 × 100
= ₹ 10
SP = CP + P = 100 + 10 = 110
If SP is ₹ 110, CP = ₹ 100
If SP is ₹ 1, Cp = ₹ 100/110
If SP is ₹ 990, CP = ₹ 100/110 × 990 = ₹ 900
In 2nd case
SP = ₹ 990
L = 10 %
Let CP be ₹ 100
L = 10% of 100
= 10/100 × 100
= ₹ 10
SP = CP - L = 100 - 10 = 90
If SP is ₹ 90, CP = ₹ 100
If SP is ₹ 1, Cp = ₹ 100/90
If SP is ₹ 990, CP = ₹ 100/90 × 990 = ₹ 1100
Now,
Total SP = ₹ 990 + ₹ 990 = ₹ 1980
Total CP = ₹ 990 + ₹ 110 = ₹ 2000
Since, CP > SP
Loss = 2000 - 1980 = 20
Loss% = 20/2000 × 100 = 1%