Question

A n 1997 drought, a village lost 25% of its cattle due to shortage of fodder and water,5%
of diseases. If the number left was 5600, how many cattle were there in the beginning?​

Answer 1

AnswEr :

• Village Lost 25% Cattle due to shortage of fodder and water, and 5% because of Disease.
• 5600 Cattle left in Village.

⋆ Let the Cattle in the Beginning be x.

• According to the Question :

⇒ Total × Left in Village = 5600

⇒ x × [100 - (25 + 5)]% = 5600

⇒ x × (100 - 30)% = 5600

⇒ x × 70% = 5600

⇒ x × 70 /100 = 5600

⇒ x = (5600 × 100) /70

⇒ x = (80 × 100)

⇒ x = 8000

჻ There were 8000 cattle in the beginning.

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• Verification :

⇒ Total × 70% = 5600

⇒ 8000 × 70 /100 = 5600

⇒ 80 × 70 = 5600

⇒ 5600 = 5600 Hence, Verified!