The price of a radio was reduced by sh. 630. This represented a 30% discount. What was the price of the radio after the discount?

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The price of a radio was reduced by sh 630.This represented a 30% discount. What was the price of the radio after the discount?

To find the price of the radio after the discount, we can use the following steps:

Step 1: Calculate the original price of the radio before the discount.
Let the original price be represented by 'x'.
According to the problem, the discount is 30%, which means the discounted price is 100% - 30% = 70% of the original price.
So, we have the equation:
x - 0.30x = 630

Step 2: Solve the equation to find the original price.
Combining like terms, we have:
0.70x = 630

Now, divide both sides of the equation by 0.70 to isolate 'x':
x = 630 / 0.70
x ≈ 900

Therefore, the original price of the radio before the discount was sh. 900.

Step 3: Calculate the price of the radio after the discount.
Since we know the discount amount is sh. 630, we can subtract it from the original price to find the discounted price:
Discounted price = Original price - Discount amount
Discounted price = 900 - 630
Discounted price = sh. 270

Therefore, the price of the radio after the discount is sh. 270.

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$630