Question
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?Solution
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. Type-2. Let the total number of locks produced=100 Defective lockers =5% So now non-defective lockers=95 non-defective exported lockers =80% So non-defective exported locks=95×80/100 =76 non-defective locker not exported =95-76=19 ATQ- 19=85500 1=4500 100=450000. The total number of lockers produced =450000.
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