a milkman sold two buffaloes for rs20000 each on one he made again of 5% on the other a loss of 10% . Find his ourrall gain or loss
Answers
Given:
- SP of each Buffaloes = Rs. 20000
- Gain= 5% on one and loss of 10% on the other.
To find:
- Overall Gain Or Loss
Solution:
Now,
- SP. of buffaloe (1) = Rs. 20,000
- Gain= 5%
- SP. of buffaloes (2) = Rs. 20,000
- Loss= 10%
- ∴Cp(2)=100/90×20,000
- =Rs. 22,222.22
- Total Cp= Cp(1)+Cp(2)
- =Rs. 41269.84
- Total Sp=20,000+20,000
- =Rs. 40,000
- ∴Loss= Cp-SP
- = (41269.84- 40,000)
- =Rs. 1269.84
- Hence, the loss is Rs. 1269.84
Answer:
Given,
Selling price of Buffaloes = 20000 each.
Total selling price = 2 * Selling price of 1 Buffalo
= 2 * 20000
= 40000
Total Cost Price
= Cost price of first Buffalo + Cost price of second buffalo. ..... (I)
Cost price of first Buffalo
Selling price =20000
Gain percentage = 5%
Let the cost price be x
We know that,
Gain = Selling price - Cost price
Gain = 20000 - x
Also gain percentage
= Gain / cost price * 100
5 = 20000 - x / x * 100
5x = ( 20000-x) * 100
5x = 200000 - 100x
5x + 100x = 200000
105x = 2000000
x = 2000000/105
Cost price of first Buffalo = 20000
Gain percentage = 5%
Let the cost price be x
We know that,
Gain = Selling price - Cost price
Gain = 20000 - x
Also,
Gain percentage
Gain /Cost price * 100
5 = 20000 - x / x *100
5x = 200000 - 100x
5x + 100x = 200000
105x = 2000000
x = 2000000/105
Cost price of second Buffalo
SP = 20000
Loss percentage =10%
Let the cost price = y
We know that
Lose = CP - SP
Also,
Loss percentage
= loss / cost price * 100
10 = y- 20000/y * 100
10 y = y- 20000 *100
10 y = 100y -2000000
10y - 100y = 2000000
-90 y = -2000000
y = 2000000/90
therefore, cost price of first Buffalo = 2000000/105
Cost price of second Buffalo= 2000000/90
putting values in equation (1 )
Total CP = Cost price of first Buffalo + cost price of second Buffalo
= 2000000/105 + 2000000/90
= 2000000[ 1/90 + 1/105]
= 2000000[105+90/105*9]
= 2000000[195/105 *9]
= 2600000/63
= 41269.83
Hence, SP = 40,000 and CP = 41,269.83
Since CP >SP
He made a loss
Loss = CP - SP
41,269.83 - 40,000
= 1269.83
Therefore, he overall loss of Rs. 1269.83