A person gave 2/5 part of his income to his elder son and 30 % part to his younger son. He saved his remaining money in three trusts. A, B and C in the ratio of 3 : 5 : 2. If difference between the amount got by his both sons is &8377; 2000, How much amount he saved in trust C?

Amount given to A= 9k + 26
Amount given to B = 13k + 28
and amount given to C = 8k + 32

According to the question,
(9k + 26) + (13k + 28) + (8k + 32) = 2186
? 30 k + 86 = 2186
? 30 k = 2100
? k = 70

Hence, amount given to A = 9k + 26 = 9 x 70 + 26
= 630 + 26 = ? 656

Let monthly income of Sita Riya and Kunal be 84k, 76k and 89k, respectively.
Given annual income of Riya = 456000
? Monthly income of Riya = 456000/12 = 38000
? 76k = 38000 ? k = 500

So, the monthly income of Sita and Kunal = 84k + 89k = 173k
= 173 x 500 = 86500

Therefore, annual income = 86500 x 12 = ? 1038000

4 leaps of cat = 3 leaps of dog
? 1 leap of cat = 3/4 leap dog
Cat takes 5 leaps for every 4 leaps of dog
? Required ratio = (5 x Cat's leap ) : ( 4 x Dog's leap)
= (5 x 3/4 dog's leap) : (4 x Dog's leap)
= 15 : 16

According to the question
Expenses ? (income)²
? 9000 = K (15000 )²
? K = 9000/(15000)²
= 1/25000
Again E = K x 1²
? 1 = K x 1² [? exenses = income]
? 1 = 1/K = 25000
? Required answer = ? 25000

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.

Given ratio of employee = 9 : 13 : 18
Let number of A's emplouees = 9k
Number of B's employees = 13k
and number of C's employees = 18k
According to the question
18k = 54
? k = 3
? Number of employee of type A = 9 x 3 = 27
Similarly, Wages of every employee of types A = 10/7 x 1400 = ? 2000
Required wages = 27 x 2000 = ? 54000

Let the saving of A and B are 4p, 5p and the share in cost of gift are 3q, 4q respectively.
According to the question,
For A, 4p - 3q = (2/3) x 4p
? p = 9q/4 ..... (i)
For B, 5p - 4q = 145
? 5 x (9q/4) - 4q = 145 .....[by Eq. (ii)
? q = 20
? Cost of gift = 3q + 4q = 7 x 20
= ? 140

Ratio between the investment of Pramod and Vikas = 40000 x 12 : 60000 x 8
= 480000 : 480000 = 1 : 1
Total profit = Rs. 16000
share of Vikas in profit = 16000/2 = Rs. 8,000

Suppose B invested the money for N months.
Then the ratio of investment = (12 x 11 : 11 x N) = 12 : N
? 12/N = 4/1
? N = 3 months.

Suppose B invested Rs. x for y months.
Then A's investment is Rs. 3x for 2y months.
Ratio of investment of A and B = 6xy : xy = 6 : 1.
Now B's share = Rs. 4,000
? A's share = Rs. 24, 000
Hence, Total profit = Rs. 28,000