A gold chain was sold at a discount of 15%. Shatini bought it with a further 8% discount given. If she paid $1173 for the golden chain what was the original price of the golden chain before all the discounts were given?

Answer 1

Let the original price of the gold chain be \( P \).

First, Shatini received a 15% discount. The price after the first discount can be calculated as follows:

\[ \text{Price after 15% discount} = P \times (1 - 0.15) = P \times 0.85 \]

Next, Shatini received an additional 8% discount on the discounted price. The price after the second discount is:

\[ \text{Price after 8% discount} = (P \times 0.85) \times (1 - 0.08) = (P \times 0.85) \times 0.92 \] \[ \text{Price after 8% discount} = P \times 0.85 \times 0.92 \]

Now, we know that the final price Shatini paid is $1173. Therefore, we can write the equation:

\[ P \times 0.85 \times 0.92 = 1173 \]

Calculating \( 0.85 \times 0.92 \):

\[ 0.85 \times 0.92 = 0.782 \]

Now we can substitute this back into the equation:

\[ P \times 0.782 = 1173 \]

To solve for \( P \):

\[ P = \frac{1173}{0.782} \]

Calculating \( \frac{1173}{0.782} \):

\[ P \approx 1500 \]

Therefore, the original price of the gold chain before all the discounts were given was approximately:

\[ \boxed{1500} \]