Directions: Study the following information carefully and answer the questions.

The below caselet shows the number of yellow and black balls sold in four different shops as A, B, C, and D.

The ratio of the number of yellow balls sold by shop B to the number of black balls sold by shop D is 5: 6. The number of yellow balls sold by shop A is 62.5% of the total number of balls sold by shop A. The number of black balls sold by shop A is 50 more than the number of yellow balls sold by shop D. The number of black balls sold by shop B is twice the number of yellow balls sold by shop D but 150 more than the number of yellow balls sold by shop C. The total number of balls sold by shop B and shop D is 1300 and 1000 respectively. The total number of balls sold by all shops is 5000.