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Srikant bought two cows for Rs. $30000$ . By selling one at a loss of $15 %$ and the other at a gain of $19 %$ , he found that selling price of both cows is the same. Find the cost price of each (in Rs.).

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Rs . 10000, Rs . 20000

Rs . 15000, Rs . 15000

Rs . 17500, Rs . 12500

Rs . 17000, Rs . 12500

answer is C.

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Detailed Solution

Given that, Srikant bought 2 cows for Rs. 30000.
Let

x, y

be the cost price of the

2

cows

x + y = 30000

…….(1)(Given)
One is sold at

15

% loss and other at gain of

19

% .
Selling price of these

2

are equal,

x - \frac{15}{100} x = y + \frac{19}{100} y

85 x = 119 y

\Rightarrow x = \frac{119}{85} y

Using equation (1) and above result,

\frac{119}{85} y + y = 30000

204 y = 85 \times 30000

y = 12500

Substituting

y = 12500

in equation (1),

x = 30000 - 12500 = 17500

Cost price of each cow is

Rs . 17500, Rs . 12500

.
Therefore, option (3) is correct.

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