Directions (67-69):The radar graph given below shows the number of buckets (plastic + wooden) sold by five different shops (P , Q, R, S and T) in two different months (May and June). Read the data carefully and answer the questions.

40% of total buckets sold by P in June are plastic buckets and $\frac{1}{8}$ th of total plastic buckets sold by P are defective. If 25% of total wooden buckets sold by P in June are also defective and total wooden buckets sold by Q in June are 50% more than the difference between total plastic and wooden buckets sold by P in June which are not defective, then find total plastic buckets sold by Q in June are what percent of total buckets sold by Q in May.

From the radar graph, we can extract the following values for the number of buckets sold by different shops:
- Total buckets sold by Shop P in June (orange line) = 160
- Total buckets sold by Shop Q in May (blue line) = 120
- Total buckets sold by Shop Q in June (orange line) = 96

Step 1: Calculate the plastic and wooden buckets sold by Shop P in June
For Shop P in June, the total number of buckets is 160.
Plastic buckets = 40% of 160

$\text{Plastic buckets}=\frac{40}{100}\times 160=64$

Wooden buckets = Total - Plastic buckets

$\text{Wooden buckets}=160-64=96$

Step 2: Calculate the non-defective buckets sold by Shop P in June
Defective plastic buckets are 1/8 of the total plastic buckets:

$\text{Defective plastic buckets}=\frac{1}{8}\times 64=8$

Non-defective plastic buckets = 64 - 8 = 56.

Defective wooden buckets are 25% of the total wooden buckets:

$\text{Defective wooden buckets}=25\%\times 96=24$

Non-defective wooden buckets = 96 - 24 = 72.

Step 3: Calculate the wooden buckets sold by Shop Q in June
The difference between non-defective wooden and plastic buckets sold by Shop P in June is:

$\text{Difference}=72-56=16$

The total wooden buckets sold by Shop Q in June is 50% more than this difference:

$\text{Wooden buckets (Q, June)}=16\times 1.5=24$

Step 4: Calculate the plastic buckets sold by Shop Q in June
Total buckets sold by Shop Q in June = 96.
Plastic buckets sold by Q in June = Total buckets - Wooden buckets

Step 5: Calculate the required percentage
We need to find the percentage of plastic buckets sold by Shop Q in June compared to the total buckets sold by Shop Q in May (120):

$\text{Percentage}=\frac{72}{120}\times 100=60\%$