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

S.P of two buffaloes = $₹20,000\times 2=₹40,000$
One Buffalo is sold at 5% gain.
Let C.P be ₹100 , then S.P = ₹100 + ₹5 = ₹105
$\because$ When S.P is ₹105, then C.P = ₹100
$\therefore$ When S.P is ₹1, then C.P = $\frac{100}{105}$
$\therefore$ When S.P is ₹20,000 then C.P = $\frac{100}{105}\times 20,000=₹19,047.62$
Another buffalo is sold at 10% loss.
Let C.P be ₹100, the S.P = 100 - 10 = ₹90
$\because$ When S.P is ₹90, then C.P = ₹100
$\therefore$ When S.P is ₹1, then C.P = $\frac{100}{90}$
$\therefore$ When S.P is ₹20,000 then C.P = $\frac{100}{90}\times 20,000=₹22,222.22$
Total C.P = ₹19,047.62 + ₹22,222.22 = ₹41,269.84
Since C.P > S.P a loss is incurred.
Loss = C.P - S.P = ₹41,269.84 - ₹40,000.00 = ₹1,269.84