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In a lock making factory, 5 percent of the total produced locks were found defective and 80 percent of the non-defective locks were exported. If 85500 non-defective locks were not exported, then how many locks produced? 

In a lock making factory, 5 percent of the total produced locks were found defective and 80 percent of the non-defective locks were exported. If 85500 non-defective locks were not exported, then how many locks produced?  Correct Answer 450000 

Given:

5% of total locks produced were defective.

80% of non- defective locks were exported.

85500 non- defective locks were not exported.

Calculation:

Let the total number of locks produced be x, defective locks be d and non- defective locks be n.

So, x = d + n      ----(1)

d = 5% of x       ----(2)

n = 80% of n + 85500       ----(3) 

From (3),

n = (80/100)n + 85500

n - (80/100) n = 85500

100n - 80n = 85500 × 100

20n = 8550000

n = 8550000/20

n = 427500

Substituting (3) and (2) in (1),

x = d + n

x = 5% of n + 427500

x = ( 5/100) n + 427500

100x - 5x = 42750000

95x = 42750000

x = 42750000/95 

x = 450000

∴ The total number of locka produced are 450000

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