Question

The value of 1g of gold is 90 times that of 1g of silver. If the weights of equal volumes of silver and gold are
in the ratio 10:19, what is the value (in Rs) of a bar of silver that is equal in bulk to a bar of goll of value Rs
991802​

Answer 1

Given :- The value of 1g of gold is 90 times that of 1g of silver. If the weights of equal volumes of silver and gold are in the ratio 10:19, what is the value (in Rs) of a bar of silver that is equal in bulk to a bar of gold of value Rs. 99180 ?

Solution :-

given that,

• value of 1gm gold : value of 1gm silver = 90 : 1 .
• weight of silver : weight of gold = 10 : 19.
• value of a bar of bold = Rs.99180 .

Let us assume that,

• value of 1 gm gold = Rs.90x
• value of 1gm of silver = Rs.x .
• weight of gold = 19y gm.
• weight of silver = 10y gm.

Now,

→ Value of 1 gm of gold = Rs.90x

→ value of 19ygm of gold = Rs.(19y * 90x)

So,

→ Rs.(19y * 90x) = Rs.99180

→ xy = (99180) / (19 * 90)

→ xy = 58 .

Therefore,

→ cost of 1 gm of silver = Rs.x

→ cost of 10y gm of silver = Rs.(10xy) = 10 * 58 = Rs.580 (Ans.)

Hence, the value (in Rs) of a bar of silver is 580.

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