Let the number be 'x'. Then, from given data
x/2 + x/3 + x/4 = x+22
13x/12 = x+22
x = 264
16x8 : Px4 = 5:2
P = 12.8 => Rs.12,800
From the given data,
let the amounts invested be 4p, 5p and 3p
Net profit = Total profit - Total loss
= 10x5p/100 + 25x3p/200 - 20x4p/100
= 0.875p - 0.8p
= 0.075p
Therefore, profit% = (Net profit/Total investment) x 100
= 0.075 x 100/12
= 0.0625%
Here, S = {1, 2, 3, 4, ...., 19, 20}.
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
P(E) = n(E)/n(S) = 9/20.
Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E= { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4,3),(5, 2), (5, 6), (6, 1), (6, 5) }
n(E) = 15.
P(E) = n(E)/n(S) = 15/36 = 5/12.
=> 60x5 : 36x6 : 75x3
=> 100 : 72 : 75
=> 72/247 x 7410 = Rs. 2160
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