:- A milkman sold two of his buffaloes for ₹ 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)
Answers
S.P. of each buffalo = Rs.20,000
S.P. of two buffaloes = 20,000 × 2 = Rs.40,000
One buffalo is sold at 5% gain.
Let C.P. be Rs.100, then S.P. = 100 + 5 = Rs.105
∵ When S.P. is Rs.105, then C.P. = Rs.100
∴ When S.P. is Rs.1, then C.P. = 100/105
∴ When S.P. is Rs.20,000, then C.P.
= 100/105 × 20000 = Rs.19,047.62
Another buffalo is sold at 10% loss.
Let C.P. be Rs.100, then S.P. = 100 – 10 = Rs.90
∵ When S.P. is Rs.90, then C.P. = Rs.100
∴ When S.P. is Rs.1, then C.P. = 100/90
∴ When S.P. is Rs.20,000, then C.P.
= 100/90 × 20000 = Rs.22,222.22
Total C.P. = Rs.19,047.62 + Rs.22,222.22
= Rs.41,269.84
Since C.P. >S.P.
Therefore here it is loss.
Loss = C.P. – S.P.
= Rs.41,269.84 – Rs. 40,000.00 = Rs.1,269.84
The overall loss of milkman was Rs.1269.84
Step-by-step explanation:
given :
- milkman sold two of his buffaloes = rs 20,000
- one he made a gain = 5 %
- on the other a loss = 10%
to find :
- Find his overall gain or loss = ?
solution :
- milkman buffalo. = 20,000
- gain of selling buffalo = 5 %
- cost price = rs 100
- selling price = rs 105
- one buffalo cost price = =2000x100/105= 19,047.62
- second buffalo sold in = 10%
- cost price = 100
- selling price = 90
- other buffalo cost price = =2000×100/90= Rs. 22222.22
- cost price = rs 19047.62 + 22222.22
- cost price = Rs 41269.84
- selling price = Rs 20000 + Rs 20000
- selling price = 40000
then we subtract
- Rs 41269.84 - Rs 40000 = Rs1269.84
hence ,
- milkman loss = Rs 1,269.84.