Question
The cost of diamond varies directly as the square of its
weight. A diamond broke into four pieces with weights in the ratio 2 : 3 : 4 : 5. if the loss in the total value of the diamond was Rs. 142,000. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be 2x, 3x, 4x, 5x Total weight of diamond = 2x + 3x + 4x + 5x = 14x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(14x)2 Price of pieces = (4kx2 + 9kx2 + 16kx2 + 25kx2) = 54kx2 Loss in price = 196kx2 – 54kx2 = 142kx2 which is given as 142,000 => 142kx2 = 142000 => kx2 = 1000 Original price = 196kx2 = 196 x 1000 = 196000
Which rivers demarcate the boundaries of Kangchenjunga?
The Tropic of Cancer passes through which of the following Indian states
Amindivi and Minicoy are parts of which Indian Union Territory?
Which Indian state is referred to as "The Land of Dawn-Lit Mountains"?
Consider the following pairs in the context of the Northern plains in India:
Which of the following Plains is not the West coastal Plain of India?
The Eastern coastal plain of India is also known as what?
Which of the following is/are the features of wet tropical evergreen vegetation?
1. Dense Forest with thick spread of grass.
2. Low vege...
Which of the following regions lie in the rain shadow zone of the South west monsoon?
1. Interior parts of Maharashtra
2. Madhya Pradesh
A state in India has the following characteristics:
1. Its northern part is arid and semi-arid.
2. Its central part produces cotton.
<...
Relevant for Exams:
