Question

The cost price of 19 chairs is equal to selling price of 16 chairs.The gain % is:

• A. $3\frac{9}{17}$%
• B. $15\frac{15}{19}$%
• C. $18\frac{3}{4}$%
• D. $16\frac{1}{3}$%

Answer 1

The correct option is C $18\frac{3}{4}$%

Let $C.P.$ of $1$ chair = Rs$1$

$C.P.$ of $19$ chairs = Rs. $19$

$C.P.$ of $16$ chairs = Rs. $16$

$S.P.$ of $16$ chairs =$C.P.$ of $19$ chairs = Rs. $19$

$Profit$ $=SP-CP$ = Rs.$3$

∴% $Gain$ =$\frac{SP-CP}{CP}\times 100=\frac{3\times 100}{16}=18\frac{3}{4}$%