Question

the bacteria in culture grown by 10% in first hour decreased by 10% and again increased by 10% in third hour find the bacteria at end of 3 hour if the count was initially 20000​

Answer 1

Answer:

Step-by-step explanation:

initially , number of bacteria = 20,000

in first hour , increase in the number of bacteria = 10%

= 10 % of 20,000 = 0.1 × 20,000= 2,000

number of bacteria till second hour

= 20,000 + 2,000 = 22,000

now in second hour , decrease in the number of bacteria = 10 % of 22,000

= 0.1 × 22,000 = 2,200

number of bacteria till third hour :

=number of bacteria till second hour - decrease in the number of bacteria in second

= 22,000 - 2,200 = 19,800

in third hour , increase in the number of bacteria

= 10 % of 19,800 = 0.1 × 19,800

= 1,980

number of bacteria till fourth hour

= number of bacteria till 3rd hour + increase in the number of bacteria in third hour

= 19,800 + 1,980 = 21,780

therefore , number of bacteria at the end of 3hours was 21,780 .

Your Answer : 21,780

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