Ek scientist ne ek chemical experiment kiya, jisme 5 liters ka ek liquid ho gaya. Phir usne usme 1 liter paani daala, aur phir se mix kar liya. Ab usne ek liter is mixture ko alag bottle mein daala aur dobara 1 liter paani daala. Is process ko total 5 baar kiya. Ab batao, antim mixture mein kitna percent original liquid hai?
Answers & Comments
Answer:
Explanation:
Antim mixture mein kitna percent original liquid hai, iska calculation niche diye gaye tarike se kiya ja sakta hai:
Prathm mixture mein 5 liters liquid hai.
Usme 1 liter paani daalne par 5/6 liters liquid aur 1/6 liters paani ho jayega.
Dusra mixture ko alag bottle mein daalne par, original mixture se 1/6 liters ko alag kar liya jayega, to bache huye 5/6 liters mixture le liya jayega.
Fir se 1 liter paani daalne se 5/6 liters mixture me se 1/6 liters paani ho jayega, aur 4/6 liters (yani 2/3) original mixture bacha rahega.
Is tarah se 5 baar process ko repeat karne ke baad, antim mixture me 2/3 original mixture hoga.
Percentage calculate karne ke liye, original mixture ka fraction ko percentage me convert karna hoga:
(2/3) * 100 = 200/3 ≈ 66.67%
To antim mixture me lagbhag 66.67% original liquid hai.
Answer:
1% original liquid hai.
Explanation:
Is experiment ke antim mein, sirf 1% original liquid bachi hui hogi.
Har bar ek liter mixture mein se ek liter paani daalne se original liquid ka concentration har bar 50% ghat jata hai.
Is process ko 5 baar kiya jata hai, isliye (0.5)^5 = 1/32 yaani ki 3.125% original liquid bachi hogi.
Lekin antim mixture mein dobara 1 liter paani daalne se concentration 50% kam ho jayegi, isliye antim mixture mein sirf 1% original liquid hoga.
hope it helps...