Calculate the profit or loss per cent in the following.
1.CP= ₹1050 and SP = ₹900
2.CP=₹25 and SP =₹30
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Calculate the profit or loss per cent in the following.
1.CP= ₹1050 and SP = ₹900
2.CP=₹25 and SP =₹30
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1st is loss because cp is more than sp
2nd is profit because sp is more than cp
Answer: 1) 14.285 % loss percentage
2) 20 % gain percentage
Step-by-step explanation:
1. CP = ₹1050 and SP = ₹900
Since CP > SP it will be a loss.
Loss = CP - SP
= ₹ 1050 - 900
= ₹150
Loss percentage = [tex]\frac{Loss}{CP}[/tex]×100 %
= [tex]\frac{150}{1050}[/tex]×100 %
= [tex]\frac{30}{210}[/tex]×100 % (Divided by 5)
= [tex]\frac{1}{7}[/tex]×100 % (Divided by 30)
= [tex]\frac{100}{7}[/tex] %
= 14.285 % (non-terminating decimal accurate to up to 3 decimals)
2. CP = ₹25 and SP = ₹30
Since CP < SP it will be a gain.
Gain = SP - CP
= ₹ 30 - 25
= ₹5
Gain percentage = [tex]\frac{Gain}{CP}[/tex]×100 %
= [tex]\frac{5}{25}[/tex]×100 %
= [tex]\frac{1}{5}[/tex]×100 % (Divided by 5)
= [tex]\frac{100}{5}[/tex] %
= 20 % (Divided by 5)