Question

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:

\[
\boxed{1500}
\]