Rajat sold two tables for Rs 6000 each. On one he gained 20% and the other she lost 20%. Find his total loss or gain.
Answers
Answer:
Loss = ₹500
Loss = ₹500Loss% = 4%
Step-by-step explanation:
Case 1 - Gain = 20%
SP = ₹6000
Gain = 20%
Let the CP be x
A/q
x + 20% of x = 6000
=> x + 20/100 × x = 6000
=> x + x/5 = 6000
=> (5x + x)/5 = 6000
=> 6x = 6000 × 5
=> x = ( 6000 × 5 )/6
= 1000 × 5
= 5000
CP of 1st table = ₹ 5000
Case 2 - Loss of 20%
SP = 6000
Loss = 20 %
Let the CP be x
A/q
x - 20% of x = 6000
=> x - 20/100 × x = 6000
=> x - x/5 = 6000
=> ( 5x - x )/5 = 6000
=> 4x/5 = 6000
=> 4x = 6000 × 5
=> x = ( 6000 × 5 )/ 4
=> x = 1500 × 5
= 7500
CP of 2nd table = ₹7500
Now,
Total SP = 6000×2
= ₹ 12000
Total CP = 7500 + 5000
= 12500
here , CP > SP
Loss = CP - SP
= 12500 - 12000
= ₹ 500
Loss % = Loss/CP × 100
= 500/12500 × 100
= 1/25 × 100
= 4 %
Hence , Total Loss = ₹ 500
Loss% = 4%
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