Question

a man sells a house at a loss for rs.4000; had he sold it for rs.5000 his gain would have been 2/3 of his former loss; find the CP of the house ?

Answer 1

Dear Student,

$$\begin{gathered} Costpriceofhouse-sellingpriceofhouse=loss \\ ItisgiventhatCostpriceofhouse-sellingpriceofhouse=4000 \\ ifsellingprice=5000 \\ hisgain=\frac{2}{3}\times 4000 \\ 5000-\cos tprice=\frac{2}{3}\times 4000 \\ \cos tprice=5000-\frac{8000}{3} \\ =5000-2666.67 \\ \cos tprice=2333.33rupees \end{gathered}$$
Regards,