Question

Question 7
A milkman sold two of his buffaloes for Rs 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 = $Rs.20,000\times 2=Rs.40,000$
One Buffalo is sold at 5% gain.
Let C.P be Rs 100 , then S.P = 100 +5 = Rs 105
$\because$ When S.P is Rs 105, then C.P = Rs 100
$\therefore$ When S.P is Rs 1, then C.P =$\frac{100}{105}$
$\therefore$ When S.P is Rs 20,000 then C.P =$\frac{100}{105}\times 20000=Rs.19,047.62$
Another buffalo is sold at 10% loss.
Let C.P be Rs 100, the S.P = 100 - 10 = Rs. 90
$\because$ When S.P is Rs 90, then C.P = Rs. 100
$\therefore$ When S.P is Rs, then C.P = $\frac{100}{90}$
$\therefore$ When S.P is Rs 20,000 then C.P = $\frac{100}{90}\times 20000=Rs.22,222.22$
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