Question

A man bought two goats for Rs. $3000$. He sold one at a loss of $25$% and the other a profit of $50$%. If each goat was sold for the same price, the cost price of the goat which was sold at a loss was :

• A. Rs. $1,648$
• B. Rs. $1,256$
• C. Rs. $2,000$
• D. Rs. $2,048$

Answer 1

Answer: (C)

Rs. $2,000$

CP pf $2$ goats$=3000=$Total CP

Loss on one$=25$%

Profit on other$=50$%

$S{P}_1=C{P}_1-\frac{25}{100}C{P}_1=\frac{3}{4}C{P}_1$

$S{P}_2=C{P}_2-\frac{25}{100}C{P}_2=\frac{3}{4}C{P}_2$

Given $S{P}_1=S{P}_2$

$\frac{3}{4}C{P}_1=\frac{3}{2}C{P}_2$

$C{P}_1=2C{P}_2$

Total $CP=3000=C{P}_1+C{P}_2=3C{P}_2$

$\Rightarrow C{P}_2=1000,C{P}_1=2\times 1000=2000$

$\therefore$Cost price of goat which was sold at loss$=2000$