Ex 7.2

Chapter 7 Class 8 Comparing Quantities
Serial order wise

### Transcript

Question 6 A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss. (Hint: Find CP of each) Given, Selling Price of buffalos = 20000 each Total Selling price (SP) = 2 Γ Selling price of 1 buffalo = 2 Γ 20000 = 40000 Total Cost Price (CP) = Cost Price of first buffalo + Cost price of Second buffalo Cost Price of first Buffalo Selling Price = 20000 Gain Percentage = 5% Let the cost Price = π₯ We know that, Gain = Selling Price β Cost Price Gain = 20000 β π₯ Also, Gain Percentage = πΊπππ/(πΆππ π‘ πππππ) Γ 100 5 = (20000 β π₯)/π₯ Γ 100 5π₯ = (20000 β x) Γ 100 5π₯ = 200000 β 100x 5x + 100π₯ = 2000000 105π₯ = 2000000 x = 2000000/105 Cost Price of first Buffalo Selling Price = 20000 Gain Percentage = 5% Let the cost Price = π₯ We know that, Gain = Selling Price β Cost Price Gain = 20000 β π₯ Also, Gain Percentage = πΊπππ/(πΆππ π‘ πππππ) Γ 100 5 = (20000 βπ₯)/π₯ Γ 100 Cost Price of second Buffalo Selling Price = 20000 Loss Percentage = 10% Let the cost Price = y We know that, Loss = Cost Price β Selling Price Loss = y β 20000 Also, Loss Percentage = πΏππ π /(πΆππ π‘ πππππ) Γ 100 10 = (π¦ β 20000)/π¦ Γ 100 5π₯ = (20000 β x) Γ 100 5π₯ = 200000 β 100x 5x + 100π₯ = 2000000 105π₯ = 2000000 x = 2000000/105 10y = (y β 20000) Γ 100 10y = 100y β 2000000 10y β 100y = β2000000 β 90y = β2000000 90y = 2000000 y = 2000000/90 β΄ Cost Price of first buffalo = Rs 2000000/105 & Cost Price of Second buffalo = Rs 2000000/90 Putting values in equation (1) Total Cost Price (CP) = Cost Price of first buffalo + Cost Price of Second Buffalo = 2000000/90 + 2000000/105 = 2000000 (1/90 " + " 1/105) = 2000000 ((105 + 90)/(105 Γ 9)) = 2000000 (195/(105 Γ 90)) = 200000 (195/(105 Γ 9)) = 200000 (65/(105 Γ 3)) = 200000 (13/(21 Γ 3)) = 2600000/63 = 41269.83 β΄ SP = Rs 40,000 & CP = Rs 41,269.83 Since CP > SP, He Made a loss Loss = CP β SP = 41269.83 β 40000 = 1269.83 β΄ His overall loss is of Rs 1,269.83