A man bought a horse and a carriage for $₹ 3000$ He sold the horse at a gain of20% and the carriage at a loss l 0%, thereby gaining 2% on the whole. Find the cost of the horse.

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$₹1 000$

$₹12 00$

$₹15 00$

$₹17 00$

answer is B.

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Detailed Solution

Let the C P. of horse $= ₹ X$

Then t'1eC.P. of carriage $= Rs (3000 - x)$

20% of $x - 10 %$ of $(3000 - x) = 2 % of 3000$

$\begin{array}{l} \Rightarrow \frac{x}{5} - \frac{(3000 - x)}{10} = 60 \\ \Rightarrow 2 x - 3000 + x = 600 \\ \Rightarrow 3 x = 3600 \Rightarrow x = 1200 \end{array}$

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