Question

To manufacture a productXa company needs raw materials A. Band Cand item D. The cost price of Ais 10% of the total cost orA, B, C, D. The cost price of each of Band Cis 15% of the total cost of ABCD if the costs of A, Band Cincrease by 10% ench and the total cost of A, B, C, D increases by 10%, by what percentage does the cost of, Dincrease?​

Answer 1

Answer:

Cost of D increase by 10%

Step-by-step explanation:

Let say Total Cost Price = 100T

100T = A + B + C + D

A is 10% of the total cost of ABCD  = (10/100)100T = 10T

B & C Each is 15% of the total cost of ABCD

B  Cost = 15T

C cost = 15 T

=> 100T = 10T + 15T + 15T + D

=> D = 60T

costs of A, Band C increase by 10% each

A new Cost = 10T + (10/100)10T = 11T

B & C new Cost = 15T  + (10/100)15T = 16.5T

A + B + C = 11T + 16.5T + 16.5T = 44T

Total cost increased by 10 % = (10/100)100T = 10T

Total New Cost = 100T + 10T = 110T

110T = 44T + D new Cost

=> D new cost = 66 T

D cost increase = 66T - 60T = 6T

D % Cost increase = (6T/60T) * 100 = 10%

Cost of D increase by 10%