in what time will rs 4000 lent at 3 percent per annum on simple interest earn as much interest at 5000 will earn in 5 years at 4 percent at 4 percent per annum on simple interest ​

It takes 16.67 years

Step-by-step explanation:

Find time taken for P = 4000 to be same as Amount₁ .

That is Amount₂ = Amount₁ = 6000

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560