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1.
Let the numbers be 4X and 7X
So, (4X - 4) / (7X - 4) = 2/5 => X = 2
So, First number is 4 x 2 = 8
2.
Third Portion = b2/a
here, a = 16 and b = 28
3.
Mean (Second) proportion = √ab
here, a = 72, b = 32
So, Mean proportion = √(72 x 32) = 48
4.
A
|
B
|
C
|
5
|
6
|
|
4
|
7
|
A : B : C = 5 x 4 : 4 x 6 : 6 : 7 = 10 : 12 : 21
5.
(A/B).(B/C).(C/D) = (7/8).(10/11).(4/5)
=> A / D = 7/11 => 7:11
6.
Let the shares of A, B and C be 18X, 15X and 13X
15X = 4500 => X = 300
So, C share of money = 13 X
= 13 x 300 = Rs. 3900
Shortcut :
B's share is 15 parts, which is equal to Rs. 4500 then
C's share is (13/15) x 4500 = Rs. 3900
7.
Let the milk and water be 5X and 4X litres
5X / (4X + 9) = 4/5 => X = 4
So, Milk is 5X = 5 x 4 = 20 litres
8.
Let 2A = 3B = 4C = X
So, A = X/2, B = X/3 and C = X/4
A : B : C = (1/2) : (1/3) : (1/4) = (6/12) : (4/12) : (3/12)
= 6 : 4 : 3
A's share is (6/13) x 5460 = Rs. 2520
9.
Ratio of the values of the coins
= (5/1) : (4/2) : (9/4) = 20 : 8 : 9
Value of 25 Paise coins = (9/37) x 74 = Rs. 18
So, Number of 25 Paise coins = 18 x 4 = 72
10.
Ratio of the number of Coins = 12 x 1 : 7 x 2 : 8 x 4 = 6 : 7 : 16
So, Number of 50 Paise Coins = (7/29) x 290 = 70
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thanks...mjhe thodi confusion hui thi...nw it got it
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