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Question

Answers

A.Loss = Rs 1269.84

B.Loss = Rs 1278.14

C.Loss = Rs 1314.56

D.Loss = Rs 1254.42

Answer
Verified

In the question it is given that the selling price (S.P.) of both the buffaloes is Rs 20,000

First we will calculate the cost price of the buffaloes for which the milkman gains 5 % profit.

Gain = 5%

SP of buffalo1 = Rs 20,000

So, Cost price of buffalo1

\[

= \dfrac{{100}}{{105}} \times 20,000 \\

= \;Rs.\;19047.62 \\

\]

Similarly the selling price(S.P.) of the buffaloes for which the milkman loss is 10 % is equal to Rs 20,000.

Now we will calculate the cost price of the second buffaloes

SP of buffalo2 = Rs 20,000

Loss =10%

Cost price of buffalo2

\[ = \dfrac{{100}}{{90}} \times 20,000\]

\[ = \;Rs\;22,222.22\]

To find the overall gain or loss we will find first the total cost price and total selling price.

So the total cost price of both the buffaloes = Cost price of buffalo1 + Cost price of buffalo2

\[ = \;Rs\;22,222.22 + Rs.\;19047.62\]

\[ = \;Rs\;41269.84\]

So the total Cost price = Rs 41269.84

Now calculate the total selling price

Total selling price = S.P. of buffalo 1 + S.P. of buffalo 2

\[

= \;Rs\;20,000 + Rs.\;20,000 \\

= Rs\;40,000 \\

\]

So the total selling price = Rs 40,000

We see the total cost price is greater than the total selling price that means milkman has overall loss

Loss = total cost price – total selling price

\[

= \;Rs\;41269.84 - Rs\;40,000 \\

= Rs\;1269.84 \\

\]

Hence the overall loss of the milkman is Rs1269.84.