Question

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.

Answer 1

Step 1: Calculating the C.P. for one case.
S.P. of each buffalo = ₹20,000
The milkman made a gain of 5% while selling one buffalo
This means if C.P. is ₹100, then S.P. is ₹105.
C.P of one buffalo $\frac{100}{100+\text{Profit \%}}\times S.P.$
$\frac{100}{105}\times 20000$
$=₹19,047.62$
Step 2: Calculating the C.P. for another case.
Also, the second buffalo was sold at a loss of 10%
This means if C.P. is ₹100, then S.P. is ₹90
$\therefore$ C.P. of other buffalo $=\frac{100}{100-\text{Loss \%}}\times S.P.$
$=\frac{100}{90}\times 20000$
$=₹22222.22$

Step 3: Calculating the overall loss/ gain.

Total C.P. = ₹ 19047.62 + ₹ 22222.22 = ₹ 41269.84
Total S.P. = ₹ 20000 + ₹ 20000 = ₹ 40000

Since total S.P. is less than total C.P. the shopkeeper got loss.
Loss = ₹ 41269.84 − ₹ 40000 = ₹ 1269.84

Therefore, the overall loss of milkman was ₹ 1,269.84.