NCERT Solutions
Class 8 Maths
Comparing Quantities

Ex.8.2 Q.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. (Hint: Find CP of each)
S.P. of each buffalo = Rs 20,000
S.P. of two buffaloes = Rs 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
= (20 ÷ 21) × 20000
= 400000 ÷ 21
= 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
= (10 ÷ 9) × 20000
= 200000 ÷ 9
= 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