Ratio of salaries
Akash : Babloo : Cintu 2 : 3 : 5
Let the common ratio be 'k'
Then, salaries of Akash, Babloo and chintu will be 2k, 3k and 5k, respectively.
Now, 15% increase in Akash's salary = 15% of 2k
= 15 x 2k/100 = 0.3k
New salary = 2k + 0.3k = 2.3k
Also, 10% increase in Babloo's salary = 10% of 3k
= 10 x 3k/100 = 0.3k
? New salary = 3k + 0.3k = 3.3k
Again, 20%increase in Chintu's salary = 20% of 5k
= 20 x 5k/100 = 1k
New salary = 5k + k = 6k
? New ratio = Ratio of new salaries = 2.3k : 3.3k : 6k
On multiplying with 10 and dividing by k ratio will be 23 : 33 : 60.
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
Given exp. = [ a2 + ab + b2 ] / [a3 - b3] where a = 137, b = 133
= 1/(a - b)
= 1/(137- 133)
=1/4
Ratio between the investment of Gopal and Dinesh = (3000 x 12) : (2000 x 6)
= 36000 : 12000
= 3 : 1
Dinesh's share = [1/(3 +1)] x 2600 = Rs. 650
Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
Let the number be N
According to the question 5N = 2N2 - 3
? 2N2 - 5N -3 = 0
? (N - 3) (2N + 1) = 0
N = 3 & -1/2
Thus the required number is 3
Required percent = {30/(2 x 10)} x 100 % = 150%
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