Question

A man sells two horses for Rs. 4000 each, neither losing nor gaining in the deal. If he sold one horse at a gain of 25$\%$, the other horse is sold at a loss of _____ .

• A. $33\frac{1}{3}\%$
• B. $16\frac{2}{3}\%$
• C. $50\%$
• D. $47\%$

Answer 1

The correct option is B $16\frac{2}{3}\%$

Given that, selling price of 1 horse=Rs 4000

and profit $\%=25\%$

We know that, $\text{cost price}(C.P.)=\frac{S.P.\times 100}{100+\text{profit}\%}$

$\therefore C.P.=\frac{4000\times 100}{125}=3200$

Since the man is having neither loss nor gain.

$\therefore$ C. P. of second horse=S.P. of 2 horses - C.P. of 1 horse

$=Rs.(8000-3200)=Rs.4800$

$\therefore$ C.P. of $2^{nd}$ horse $=Rs.4800$ and S.P.$=Rs.4000$

$\therefore Loss=C.P.-S.P.=Rs.800$

$\Rightarrow Loss\%=\frac{800}{4800}\times 100=16\frac{2}{3}\%$

Hence, option B is correct.