Question

Price of gold is directly proportional to square of its weight. A
gold is broken in the ratio 3:2:1 and sold for 1 4620 less. Find
price of original gold.
सोने का मूल्य उसके भार के वर्ग समानुपाती है। एक सोने को 3:2:1
के
अनुपात में तोड़कर बेचने से ₹ 4620 कम प्राप्त होते है। बिना टुटे
सोने का मूल्य क्या है?
(1)Rs.7650
(2)Rs.7065
(3)Rs.7560
( (4) None of these​

Answer 1

Step-by-step explanation:

We are given that the price of gold is directly proportional to square of its weight.

=> Price = k*weight^2

Let us say initially the weight of the nugget was 6 units

=> P(original) = k*6^2 = 36k

After breaking it down into three pieces, we get the weights as 3, 2, and 1

=> P(3) = k*3^2 = 9k

=> P(2) = k*2^2 = 4k

=> P(1) = k*1^2 = k

=> P(new) = 9k + 4k + k = 14k

Loss = 36k - 14k = 4620 Rs.

=> 22k = 4620 Rs.

=> k = 210

=> Price (original) = 210*36 = 7560 Rs.

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