Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller of the numbers is
36
24
18
12
A.
36
Let the natural numbers are 3x and 5x then,
(3x) x (5x) = 2160
⟹ 15x2 = 2160
⟹ x2 = 144
⟹ x = 12
Hence, smaller number = 3x = 3 x 12 = 36
What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4?
8
7.5
6.5
5
If ₹ 1000 is divided between A and B in the ratio 3 : 2, then A will receive
₹ 400
₹ 500
₹ 600
₹ 800
What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2?
5 is subtracted
10 is added
7 is added
10 is subtracted
The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves ₹ 200 per week, then the sum of their weekly income is
₹ 3200
₹ 4200
₹ 4800
₹ 5600
The incomes of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves 1/4 of his income, then the saving of A, B and C are in the ratio of
69 : 56 : 48
47 : 74 : 99
37 : 72 : 49
56 : 99 : 69
Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is
20
27
39
52
An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is
increased in the ratio 56 : 69
decreased in the ratio 56 : 45
increased in the ratio 13 : 17
decreased in the ratio 17 : 13
The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is ₹ 200 more than the price of a shoe. Then, the price of a shoe is
₹ 700
₹ 500
₹ 1200
₹ 200