Question

A man bought a horse for a certain sum and sold it, at a loss of 8 % on his outlay. If he had received Rs. 1800 more, he would have gained 14 % on his outlay. What did the horse cost?

• A. $4000$
• B. $9000$
• C. $7000$
• D. $7527$
  

Answer 1

The correct option is D $7527$

Let the C.P of the horse$=x$

Loss$\%=8\%$

Loss$=\frac{8}{100}\times x$

$S.P=C.P-Loss$

$=x-\frac{8}{100}x$

The If Condition

If he had received Rs $1800$ more

${S.P}_1=S.P+1800$

$\Rightarrow x-\frac{8}{100}x+1800=x+\frac{14}{100}x$

$\Rightarrow \frac{92}{100}x+1800=\frac{114}{100}x$

$\Rightarrow 1800=\frac{114}{100}x-\frac{92}{100}x$

$\Rightarrow 1800=\frac{114-92}{100}x$

$\Rightarrow 1800=\frac{22}{100}x$

$\Rightarrow x=\frac{900\times 100}{11}=8,182$

$\therefore$ the C.P of the horse$x=Rs.8,182$

The S.P of the horse$=S.P=C.P-Loss$

$=x-\frac{8}{100}x$

$=\frac{100x-8x}{100}$

$=\frac{92x}{100}$

$=\frac{92\times 8,182}{100}$

$=Rs.7,527.44‬$