Understanding the Problem

We know:

What is the worth of 15 grams of 22K gold if 24K gold is currently priced at ₹5,000 a gram?

The following is what we know:

• 24K gold is 100% gold.
• 22K gold is 22 parts of gold out of 24 parts. The other 2 parts are typically other metals like silver or copper.
• We have 15 grams of 22K gold.
• The market price is ₹5,000 for a gram of gold (24K) pure.

The goal is to figure out the worth now of 15 grams of 22K gold at the current rate.

Step 1: Calculate the Purity Factor

Gold is described in terms of “karats,” with 24K = 100% pure. To calculate the effective purity of 22K gold, we use the following formula:

Purity (%)
=
Karat Value
24
×
100
Purity (%)=
24
Karat Value

×100

Substitute the numbers:

Purity (%)
=
22
24
×
100
Purity (%)=
24
22

×100
Purity (%)
=
0.9167
×
100
≈
91.67
%
Purity (=)0.9167×100≈91.67

Therefore 22K gold is 91.67% pure. That is, each gram of 22K gold is 0.9167 grams pure gold.

Step 2: Calculate the Value of 1 Gram of 22K Gold

Since 24K gold is priced ₹5,000 a gram, the true value of 1 gram of 22K gold is:

Price per gram of 22K
=
5000
×
0.9167
Price per gram of 22K=5000×0.9167
Price per gram of 22K
≈
4583.5

₹/gram
Price per gram of 22K≈4583.5₹/gram

Therefore 1 gram of 22K gold is about worth ₹4,583.50.

Step 3: Calculate the Value of 15 Grams

Now, multiply this rate times the total weight:

Value of 15 grams
=
15
×
4583.5
Value of 15 grams=15×4583.5

Let’s do it step by step:

15 × 4,583 = 68,745

15 × 0.5 ≈ 7.5

Add both: 68,745 + 7.5 ≈ 68,752.5 ₹

We can approximate it to ₹68,753.

Step 4: Final Answer

The amount of 15 grams of 22K gold at ₹5,000 per gram for 24K gold is about:

₹
68,
753
₹68,753

Extra Insights

• As the price of gold increases or decreases, the amount of 22K gold increases or decreases proportionally.
• The difference between 24K and 22K gold is not gigantic, yet in quantities, it does count.
• Jewellers generally add an addition of making charges on top of this amount for custom jewellery, which can prove to be heavy.

If you prefer, I can also show you an unimaginably easy shortcut formula for finding 22K, 18K, or any other percentage of gold instantly without so many steps—it is a gold mental maths trick!