Question

A lump of gold and silver weighing 240 grams is worth Rs 2640, but if the weight of gold and silver be interchanged, it would be worth Rs1800. If the price of gold be Rs 18 per gram, find the weight of silver in the mixture and the price of silver per gram.

Answer 1

let the weight of the gold in the lump be x
then the weight of the silver is (240-x)
price of the gold is rs. 18/g
let the price of the silver per gram be y

then ➡️ 18(x) + y(240-x) = 2640
➡️18x + 240y - x*y = 2640 ==>1

according to the statement, when their weights are interchanged , their equation is:

➡️ 18(240-x) + y(x) = 1800
➡️4320-18x +x*y = 1800 ==>2

now, by adding eq 1 and 2

4320-18x+xy+18x+240y-xy = 2640+1800
4320+240y = 4440
➡️y = 120/240
= Rs.0.5
thus by sub y in eq 2 we get,

$4320 - 18x + x \times 0.5 = 1800$


$4320 - 18x + 0.x = 1800$
4320-17.5x = 1800
17.5x = 2520
x= 144
thus the weight of the gold is 144g and that of the silver is 96g

Answer 2

Answer:

weight of gold and silver be interchanged, it would be worth Rs1800. If the price of gold be Rs 18 per gram, find the weight of silver in the mixture and the price of silver per gram.

Step-by-step explanation: