Question

A milkman sold two of his buffaloes for ₹ 20,000 each. On one he made a profit of 5%

and on the other a loss of 10%. Find his overall gain or loss.​

Answer 1

Answer:

3% loss

Step-by-step explanation:

Here there are two transactions. There are two Selling Prices 20000+20000= RS.40000

One transaction is 5% profit and another one is 10% loss. We calculate the Cost Price of two transactions.

1) At 5% profit:

The SP 1 (Rs.20000) is 105% of CP 1

105% of CP = 20000

(105/100) CP = 20000

CP 1 = (20000×100) ÷ 105

= 19047.61

2) At 10% loss:

The SP 2 (Rs.20000) is 90% of CP 2

90% of CP = 20000

(90/100) CP = 20000

CP 2 = (20000×100) ÷ 90

= 22222.22

Total CP is

= 19047.61 + 22222.22

= 41269.83

So, he bought two buffaloes at Rs. 41269.83 and sold it for Rs. 40000. So clearly it is Loss of overall transaction.

Loss percentage:

41269.73 = 100%

40000 = ? %

= (40000×100) ÷ 41269.73

= 96.92 %

So, 100-96.92 = 3.07

So, 3% loss

Answer 2

Step-by-step explanation:

FOR 1st BUFFALO

SP = Rs 20,000

Profit = 5%

CP = [ 100 / 100 + Profit % ] × SP

[ 100 / 100 + 5% ] × 20,000

[ 100 / 105 ] × 20,000

CP = Rs 4,00,000 / 21

FOR 2nd BUFFALO

SP = Rs 20,000

Loss = 10%

CP = [ 100 / 100 - Loss % ] × SP

[ 100 / 100 - 10 % ] × 20,000

[ 100 / 90 ] × 20,000

CP = Rs 2,00,000 / 9

Now,

Total SP = Rs( 20,000 + 20,000 )

= Rs 40,000

Total CP = Rs [ ( 4,00,000 / 21 ) + ( 2,00,000 / 9 ) ]

Rs [3(4,00,000) + 7(2,00,000) / 63]

Rs [ ( 12,00,000 + 14,00,000 ) / 63 ]

Rs 26,00,000 / 63

Rs 41,269.84126

Now,

CP > SP = Loss

Loss = CP - SP

Loss = 41,269.84126 - 40,000

Loss = Rs 1,269.84

Hence, the milkman suffered a loss of Rs 1,269.84 .