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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 out his overall gain or loss.

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Rs . 1269.84

Rs . 126.984

Rs . 1269

Rs . 1260.84

answer is A.

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Detailed Solution

Concept- The amount paid to purchase a buffalo is known as its cost price. It is denoted by C.P. The price at which a buffalo is sold is known as its selling price. It is denoted by S.P.
The formula when loss is there then,

CP = \frac{100}{100 + P %} \times S . P .

The formula when loss is there then,

CP = \frac{100}{100 - l %} \times S . P .

Selling price of each buffalo = Rs . 20, 000

It’s given,

Gain % = 5 %

and

Loss % = 10 %

.
The milkman made a gain of

5 %

on selling one of his buffalo. So,

CP = \frac{100}{100 + P %} \times S . P .

{CP}_{1} = \frac{100}{100 + 5} \times 20000

{CP}_{1} = \frac{100}{105} \times 20000

{CP}_{1} = Rs . 19047.62

The milkman made a loss of

10 %

on selling the second buffalo. So,

{CP}_{2} = \frac{100}{100 - l %} \times S . P .

{CP}_{2} = \frac{100}{100 - 10} \times 20000

{CP}_{2} = \frac{100}{90} \times 20000

{CP}_{2} = Rs . 22, 222.22

Now,

total cost price = {CP}_{1} + {CP}_{2}

total cost price = Rs . 19047.62 + Rs . 22, 222.22

total cost price = Rs . 41269.84

And

total selling price = {SP}_{1} + {SP}_{2}

total selling price = Rs . 20, 000 + Rs . 20, 000

total selling price = Rs . 40, 000

Since, the

. P . > S . P .

, so there is a loss.

Overall Loss = C . P . – S . P .

Loss = C . P . - S . P .

Loss = 41269.84 - 40000

Loss = Rs . 1269.84

So, the loss for the whole transaction is

Rs . 1269.84

.
Hence, the correct option is 1.

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