Mr. Shrimant inherits 2505 gold coins and divides them among his three sons, Bharat, Parat and Marat, in a certain ratio. Out of the total coins received by each of them, Bharat sells 30 coins Parat donates his 30 coins and Marat losses 25 coins. Now the ratio of gold coins with them is 46 : 41 : 34, respectively. How many coin did Parat receive from his father?

let the number of adult men be N.
Then, ratio of the numbers of adult men and adult women
9 : 7 = N : 4.2
? N = (9/7) x 4.2 = 5.4 Lakh
Total adult population = 4.2 + 5.4 = 9.6 lakh.

If the population of the town be M Lakh,
then, 80M/100 = 9.6
? M = (9.6 x 100)/80 = 12 lakh

1/2A = 1/3B =1/6C = x
? A = 2x, B = 3x, C =6x
? A : B : C = 2 : 3 : 6
Third part = Rs. (1870 x 6/11) = Rs. 1020

Milk = 85 x (27/34) kg = 135/2 kg = 67.5 kg
Water = 85 x (7/34) kg = 35/2 kg = 17.5 kg

Let Amount of water to be added is x,
? 67.5 / (17.5 + x) = 3/1
? 3 (17.5 + x) = 67.5
? x =5
? Water to be added = 5 kg.

Let first number is P and second number is Q.
Then, according to the question,
P x 35% = 2 x Q x 75%
? (P x 35)/100 = (2 x Q x 75)/100
? P/Q = (2 x 75)/35 = (2 x 15)/7 = 30/7
? P : Q = 30 : 7

Let the age of father = 5k
and the age of son = 2k
According to the question,
5k x 2k = 1000
? 10k² = 1000
? k² = 100
? k = ?100 = 10
? Father's age after 10 yr = (5k + 10)
= 5 x 10 + 10
= 60 yr

2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = K
Then, A = (5/2) x (K - 40), B = (7/2) x (K - 20), C = (17/9) x (K - 10)

According to the question, A + B + C = 600
? (5/2) x ( K - 40) + (7/2) x (K - 20) + (17/9) x (K - 10) = 600
? 45 x (K - 40 ) + 63 x (K - 20) + 34 x (K - 10) = 10800
? 45K - 1800 + 63K - 1260 + 34K - 340 = 10800
? 142K - 3400 = 10800
? 142K = 10800 + 3400
? 142K = 14200
? K = 14200/142 =100
? B = (7/2) x (K - 20) = (7/2) x (100 - 20)
= (7 x 80)/2 = 7 x 40
= ? 280

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.

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

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

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