Question

An art exhibition has only landscapes and portraits. $40\%$ of the paintings an portraits made of water colors and $75\%$ of the acrylics are landscapes. If the number of landscapes and portraits are equal, then percent of the total paintings are portraits not made of water colors? (Ignore percent sign)

Answer 1

Let $x$ be the total paintings

given landscapes and portraits are equal

$⟹\frac{x}{2}$ of landscapes and portraits

Also,$40\%$ of $x$ are portraits made from water color $=\frac{2x}{5}\times x$

the paintings which are portraits not made from water color $=\frac{x}{2}-\frac{2x}{5}$

$=\frac{x}{10}$

required percent $=\frac{\frac{x}{10}}{total}\times 100$

$=\frac{\frac{x}{10}}{x}\times 100$

$=10$

therefore, the required percent is $10$.