Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.

To find the largest share, we need to first add the ratio values to get the total parts in the sharing. The sum of the ratio values is 6+7+8 = 21. This means that the sharing is divided into 21 parts. To find the largest share, we need to determine the fraction of the sharing that each boy receives. The first boy receives 6 out of 21 parts, which is (6/21) of the total sharing. The second boy receives 7 out of 21 parts, which is (7/21) of the total sharing. The third boy receives 8 out of 21 parts, which is (8/21) of the total sharing. To find the amount of money that each boy receives, we divide the total amount by 21 and multiply by the respective ratio value. The largest share will be received by the boy with the largest ratio value, which is the third boy who receives 8 out of 21 parts. So, the largest share is: 8/21 * 10,500 = 4,000 Therefore, the correct answer is (a) 4000.