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Discussion Forum



1)

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale-resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in :


A) no loss, no gain

B) loss of Rs. $\frac{1}{12}$ lakh

C) loss of Rs. $\frac{1}{18}$ lakh

D) gain of Rs. $\frac{1}{24}$ lakh

E) None of these

Answer:

Option B

Explanation:

Total S.P = Rs. 2 lakh.

C.P of house = Rs. $\left(\frac{100}{80}\times 1\right)$ lakh = Rs. $\frac{5}{4}$ lakh.

C.P of shop = Rs. $\left(\frac{100}{120}\times 1\right)$ lakh = Rs. $\frac{5}{6}$ lakh.

Total C.P = Rs. $\left(\frac{5}{4}+\frac{5}{6}\right)$ lakh

= Rs. $\frac{25}{12}$ lakh.

$\therefore$ Loss = Rs. $\left(\frac{25}{12}-2\right)$ lakh

= Rs. $\frac{1}{12}$ lakh.