Brothers A and B had some savings in the ratio 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4. After they bought, A spent two-third of his amount, while B is left with ? 145. Then, the value of the gift is

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 person have ? N
Then shares of elder don = ? 2N/5
and share of younger son = ? 3N/10

According to the question,
2N/5 - 3N/10 = 2000
? N/10 = 2000
? N = 20000

Remaining amount saved in trusts
= 1 - (2N/5 + 3N/10 ) = 1 - (4N + 3N)/10
= 1 - 7N/10 = 3N/10 x 20000 = 6000

given that A : B : C = 3 : 5: 2
? Share of C = [2/(3 + 5 +2)] x 6000
= (2/10) x 6000 = ? 1200

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

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

Ratio of shares = 27000 : 81000 : 72000 = 3 : 9 : 8
If Ram's share is Rs. 9 then total profit = Rs. 20
If Ram's share is Rs. 36000 then total profit = Rs. (20/9) x 36000
= Rs. 80000

Let C's share = Rs. N
Then B's share = Rs. N/2
and A's share = Rs. N/4
? A : B : C = N/4 : N/2 : N = 1 : 2 : 4
Hence C's share = Rs. 700 x (4/7) = Rs. 400