10 Rita sold two printers for Rs 2100 each. On one of the printers she made a profit
of 20% and on the other she incurred a loss of 20%. Find the total loss or gain and
also the net loss or gain per cent.
Answers
Step-by-step explanation:
loss % = 400/100
= 4% loss
Answer:
4.
Step-by-step explanation:
In the question it is given that Rita sold two printers for ₹2100 each. On 1st printer she made 20% profit and on 2nd 20% loss. We're asked to find total loss or gain/profit, also net loss or gain/profit percent.
First we'll calculate CP for both printer and after that we'll calculate total/net loss or gain/profit and percent.
Calculating CP for First Printer
SP = ₹2100.
Profit = 20%.
By SP formula when there is profit,
SP = (1+ P/100) × CP
⟹ 2100 = (1+ 20/100) × CP
⟹ 2100 = (1+ 1/5) × CP
⟹ 2100 = (6/5) × CP
⟹ CP = (5/6) × 2100
⟹ CP = 5 × 350
⟹ CP = ₹1750.
Calculating CP for Second Printer
SP = ₹2100.
Loss = 20%.
By SP formula when there is loss,
SP = (1- L/100) × CP
⟹ SP = (1- 20/100) × CP
⟹ 2100 = (1- 1/5) × CP
⟹ 2100 = (4/5) × CP
⟹ CP = (5/4) × 2100
⟹ CP = 5 × 525
⟹ CP = 2625.
Therefore,
CP of 1st Printer = ₹1750.
CP of 2nd Printer = ₹2625.
Total CP = 1st Printer + 2nd Printer
⟹ Total CP = 1750 + 2625
⟹ Total CP = ₹4375.
Total SP = 1st Printer + 2nd Printer
⟹ Total SP = 2100 + 2100
⟹ Total SP = ₹4200.
Since CP > SP, there is loss.
Total Loss = Total CP - Total SP
⟹ Total Loss = ₹4375 - ₹4200
⟹ Total Loss = ₹175.
Net Loss% = (Total Loss/Total CP) × 100
⟹ Loss% = (175/4375) × 100
⟹ Loss% = 4.
Hence, Net Loss percent is 4.