Question

Sunny has a dairy farm. He sold two buffaloes for rupees ₹60000 each. he sold one at a gain of 30% and other at a loss of 10% find the loss or gain percent on the whole transaction

Answer 1

Solution :

SP 1= 60000 = 1.3(CP1)       (profit of 30%)

CP1 = 46153.84615

SP2 = 60000 = 0.9(CP)      (loss of  10 %)

CP2 = 66666.66667

total CP = CP1 + CP2 = 112820.5128

total SP = 120000

Profit = SP - CP = 7179.4872 profit

profit% = (profit/CP) * 100

= (7179.4872/112820.5128) * 100

= 6.363636% profit

Hope that helps!!

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Answer 2

The answer is Gain percentage 6.3636%

Given: Sunny sold two buffaloes for Rs 60000 each

He gained 30% on one buffaloe

He lost 10% on another buffaloe

To find: Gain or loss on the whole transaction

Solution: On first buffalo  

Selling price = Rs 60000

Gain percentage = 30%  

Assume that cost price of  buffaloe is 100 then if we get 30% gain then the selling price of buffalo = 100+30 =130

⇒ 100 : 130 = C.P of Buffalo : 60000  

⇒ C.P = $\frac{100}{130} (60000)$ = 46153.84  

⇒ The cost price of buffalo = 46153.84  

On second buffaloe

Selling price = 60000

Loss percentage = 10%

Assume that cost price of  buffaloe is 100 then if we loss 10% the selling price of buffalo = 100 - 10 = 90

⇒ 100 : 90 = C.P of buffalo : 60000

⇒ C.P = $\frac{100}{90} (60000)$ = 66666.66

Therefore,

Cost price of both buffaloes = 46153.84 + 66666.66 = 112820.50

From data Selling price = 2 × 60000 = 120000

Here Cost price ∠ Selling price

Profit = 120000 - 112820.50 = 7179.50  

⇒ profit percentage = Profit/Cost Price × 100

⇒  $\frac{7179.50}{112820.50} (100)$  = 6.3636

⇒ Sunny will gain 6.3636% on whole transaction

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