A Jeweller mixes gold and silver in the ratio 2:3 in order to make a necklace,…
2024
A Jeweller mixes gold and silver in the ratio 2:3 in order to make a necklace, the cost of gold is Rs. 3400 per gram, if the cost of a gram of mixture is Rs. 2350, then what is the price of silver per gram?
- A.
1650
- B.
1850
- C.
1752
- D.
1522
Attempted by 12 students.
Show answer & explanation
Correct answer: A
Solution: Find the price of silver per gram.
Let the price of silver per gram be x.
Total parts = 2 (gold) + 3 (silver) = 5.
Write the weighted average equation for the mixture price:
(2*3400 + 3*x) / 5 = 2350
Multiply both sides by 5: 6800 + 3x = 11750
Solve for x: 3x = 11750 - 6800 = 4950, so x = 4950 / 3 = 1650.
Therefore, the price of silver per gram is 1650 rupees.