Question
The cost of diamond varies directly as the square of its
weight. A diamond broke into four pieces with weights in the ratio 1: 4: 5: 6. if the loss in the total value of the diamond was Rs. 89,000. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be x, 4x, 5x, 6x Total weight of diamond = x + 4x + 5x + 6x = 16x Price prop; (weight) 2 = Price = k(weight) 2 ; where, K is constant Original price = k(16x) 2 Price of pieces = (kx 2 + 16kx 2 + 25kx 2 + 36kx 2 ) = 78kx 2 Loss in price = 256kx 2 78kx 2 = 178kx 2 which is given as 89,000 178kx 2 = 89000 kx 2 = 500 Original price = 256kx 2 = 256 x 500 = 128000
If A varies directly as B and inversely as C and A = 6, B = 3 and C = 5, what is the value of A when B = 5 and C = 2?
- Find the fourth proportion of (2k - 5), (k + 1), and (3k + 4). (Note: 'k' is the smallest two-digit prime number.)
Find 'X' if the below three numbers are in proportion.
2.6, 1.3, X
A person distributes Rs. 61,600 among 11 men, 13 women and 3 children. If each woman receives four times as much as each children and each man receives ...
Total population of city P and Q is 2320 and 3150 respectively. If the ratio of number of males to females in city is P and Q is 5:3 and 3:2 respectivel...
In a class, the ratio of number of boys to number of girls is 7:5. If 1 boy joined the class and 1 girl left the class, then the ratio becomes 5:3. Find...
What is the mean proportion between 9 and 16?
A sum of money is divided in the ratio of 5 : 6. If the larger part is 192. Find the smaller part.
...The ratio of males and females in a zoo is 5:6 respectively and the percentage of children among males and the percentage of children among females are ...
There is a mixture of 63 liters of apple juice and water in a vessel. The ratio of apple juice to water is 3:4. If 14 liters of the mixture is taken out...
