Question

Q4. Peter thinks of a number. He multiplies his number by 0.1 and
then multiplies the answer by 0.01. He again multiplies the
answer by 1.1 and gets a final answer of 1.1. What number did
Peter think of at first?

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Answer 1

2×2=4+4=8+8=16+1=17+2=19

Answer 2

Given :- Peter thinks of a number. He multiplies his number by 0.1 and then multiplies the answer by 0.01. He again multiplies the answer by 1.1 and gets a final answer of 1.1. What number did Peter think of at first ?

Solution :-

Let us assume that, peter think of the number is x .

Than,

→ first he multiply by x with 0.1, so he gets = 0.1 * x = 0.1x

than,

→ he multiply the result by 0.01 , he gets = 0.01 * (0.1x)

again,

→ he multiply the answer by 1.1 , he gets = 1.1 * 0.01 * (0.1x)

given that, he gets a final answer of 1.1 .

Therefore,

→ 1.1 * 0.01 * (0.1x) = 1.1

dividing both sides by 1.1,

→ 0.01 * 0.1x = 1

→ 0.001x = 1

→ (1/1000)x = 1

→ x = 1000 (Ans.)

Hence, Peter think of at first is 1000.

Learn more :-

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