Let their shares be Rs. 4x and Rs. 3x.
Then 3x = 2400
? x = 800
? Total amount = 7x = Rs. 5600
? A = (B + C)/2
? B + C = 2 A
? A + B + C = 3A
Thus 3A = 5625
? A = Rs. 1875
Again B = ( A + C )/4
? A + C = 4B
? A + B + C = 5B
? 5B = 5625
? B = Rs. 1125
Thus A's share is more than that of B by Rs. (1875-1125) I.e. Rs. 750.
Let the numbers be 3N, 4N and 5N.
Then, 5N + 3N = 4N + 52
? 4N = 52
? N = 13
? Then smallest number = 3N = 3 x13 = 39.
Let the 3 numbers are a, b, c.
Then, a/b = 2/3, b/c = 5/3
? a/b = (2 x 5) / (3 x 5) = 10/15
and b/c = (5 x 3)/(3 x 3) = 15/9
? a : b : c = 10 : 15 : 9
Let the number be 10y, 15y and 9y.
Then, 10y + 15y + 9y = 68
? 34y = 68
? y = 2
? Second number = 15y
= 15 x 2
= 30.
Ratio of times taken = 1/2: 1/3
1/2 : 1/3 = y : 36
1/3y = 1/2 x 36
y=54 min
Let the price of scooter = 8k and price of television = 7k
According to the question,
8k - 7k = 2000
? k = 2000
? Price of television = 7k = 7 x 2000
= ? 14000
Ratio of shares of A, B and C = 1/20 : 1/25 : 1/30 = 15 : 12 : 10
? A's share = Rs.(2220 x 15/37) = Rs. 900
B's share = Rs.(2220 x 12/37) =Rs. 720
Thus, the share of A exceeds that of B by Rs.(900 - 720) = Rs. 180.
Let the monthly salary of A, B, C be Rs. 2x, Rs.3x and Rs. 5x respectively.
Then, 5x - 2x = 1200
? x = 400
? B's monthly salary = 3x = Rs. 1200
Hence, B's annual salary = Rs. (12 x 1200)= Rs. 14400
Ratio of their values = 1/4 : 2/10 : 3/20 = 5 : 4 : 3
? Value of 5 paise coins =Rs. (30 x 3/12) = Rs. 7.50
? Number of 5 paise coins = 750/5 = 150
Let the number be 3a and 5a
Then, (3a + 10) / (5a + 10) = 5/7
? 7(3a + 10) = 5 x (5a + 10)
? 4a = 20
? a = 5
So, the number are 15, 25.
Let their ages be 2x and 3x years.
? 3x - 2x = 6
? x = 6
? Sumit's age = 12 years, Prakash's age = 18 years
After 6 years, Sumit's age = 18 years
After 6 Years, prakash's age = 24 years
? Required ratio of their ages = 18 : 24 = 3 : 4
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