Question

In a certain shop, which stocks four types of caps, there are $1/3$ as many red caps as blue and $1/2$ as many green caps as red caps. There are equal numbers of green caps and yellow caps. If there are $42$ blue caps, then what percent of the total caps in the shop are blue?

• A. $70\%$
• B. $28\%$
• C. $60\%$
• D. $14\%$

Answer 1

The correct option is C $60\%$

Given the blue caps are $42$

There are $\frac{1}{3}$ as many red caps as blue caps

Then, red caps are $=\frac{1}{3}\times 42=14$

And $\frac{1}{2}$ as many green caps as red caps

Then, green caps $=\frac{1}{2}\times 14=7$

There are equal number of green caps and yellow caps

Then, no. of yellow caps are $7$.

So, the total number of caps in shop $=42+14+7+7=70$

Then, $\%$ of blue caps $=\frac{42}{70}\times 100=60\%$