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QUESTION
Q
A shopkeeper has certain number of eggs of which 5% are found to be broken. He sells 93% of the remainder and still has...

A shopkeeper has certain number of eggs of which 5% are found to be broken. He sells 93% of the remainder and still has 266 eggs left. How many eggs did he originally have ?

A

None of these

B

3600

C

3800

D

4000

E

4200

A

None of these

B

3600

C

3800

D

4000

E

4200

Solution

Let, the number of eggs with the shopkeeper be = N5% are spoiled, so remainder eggs = (0.95)NEggs left with him after...

Let, the number of eggs with the shopkeeper be = N5% are spoiled, so remainder eggs = (0.95)NEggs left with him after selling 93% of remainder eggs is= (1 − 0.93) Ã— (0.95)N= (0.07) Ã— (0.95)N = (0.0665)NGiven, he was left with = 266Therefore, (0.0665)N = 266N = 266/0.0665N = 4000

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