An Ox and a carriage together cost Rs. 8000 ox is sold at profit of 10 % and carriage is sold at los

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7.Profit and Loss

hard

An $Ox$ and a carriage together cost $Rs.$ $8000$ The ox is sold at profit of $10 \%$ and carriage is sold at loss of $10 \% .$ If total profit made is $2.5 \%$ then what is the cost price of the $ox$? (in $Rs.$)

A

$3000$

B

$3500$

C

$4000$

D

$5000$

Solution

Let the $CP$ of ox be $Rs. x$

$CP$ of carriage $= Rs .(8000- x )$

$SP$ of ox (after $10 \%$ profit) $=$ Rs. $1.1 x$

$SP$ of carriage (after $10 \%$ loss $)=$ $Rs.$ $0.9(8000-x)$

Given total profit $=2.5 \%$

$1.1 x+0.9(8000-x)=8000 \times 1.025$

$1.1 x+7200-0.9 x=8200$

$0.2 x=1000$ or $x=$ $Rs. 5000$

Standard 13

Quantitative Aptitude

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