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 : 4 : 6 : 7. if the loss in the total value of the diamond was Rs. 140,800. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be 2x, 4x, 6x, 7x Total weight of diamond = 2x + 4x + 6x + 7x = 19x Price prop; (weight)2 =gt; Price = k(weight)2 ; where, K is constant Original price = k(19x)2 Price of pieces = (4kx2 + 16kx2 + 36kx2 + 49kx2) = 105kx2 Loss in price = 361kx2 ndash; 105kx2 = 256kx2 which is given as 140,800 =gt; 256kx2 = 140800 =gt; kx2 = 550 Original price = 361kx2 = 361 x 550 = 198550
If all the letters in the word ‘APPLAUSE’ are arranged in alphabetical order from left to right such that the vowels are arranged first followed ...
In the word ‘TOWARDS’ all consonants are written as their preceding letter and all vowels are written as their following letters. Now all letters ar...
If the letters of the word ‘SUPPLEMENT’ are arranged in alphabetical order from the right end, then how many consonants (in the English alphabetica...
If it is possible to make a meaningful English word from 1st, 5 th , 8 th and 10 th letter of the word ‘ADVERTISEMEN...
If all the digits of the number 464835795456 are decreased by 2, after that all the digits are arranged in descending order from the left end, then what...
How many such pair(s) of letters are in the word “OBVIOUSLY” which has as many letters between them (both forward and backward) as in the English al...
How many pairs of letters are there in the word ‘ELIMINATE’ which has as many letters between them (both forward and backward direction) in the word...
If in the word ‘ATMOSPHERE’, all the vowels are changed to the next letter and all the consonants are changed to the previous letter. Which...
How many pairs of letters in the word INTERNET has the same number of letters between them as in the English alphabet?
If all the letters of the word ‘SYSTEMATIC’ are arranged in reverse alphabetical order from left to right, then how many letters remain in the same ...
