8. the net price of an item listed for RM1500 after deducting a trade discount of 20%, 15% and X% is RM969. FIND X
To find the value of X, we need to determine the trade discounts applied to the original price.
Let's break down the problem step by step:
Step 1: Calculate the trade discount for the first discount of 20%.
The first discount of 20% can be calculated as:
20% of RM1500 = (20/100) * RM1500 = RM300.
Step 2: Subtract the first discount from the original price to get the reduced price.
Reduced price after the first discount = RM1500 - RM300 = RM1200.
Step 3: Now, calculate the trade discount for the second discount of 15%.
The second discount of 15% can be calculated as:
15% of RM1200 = (15/100) * RM1200 = RM180.
Step 4: Subtract the second discount from the reduced price to get the new reduced price.
New reduced price after the second discount = RM1200 - RM180 = RM1020.
Step 5: We know that the final net price of the item is RM969.
So, we can calculate the trade discount for the third discount, X%:
RM1020 - X% of RM1020 = RM969.
To isolate X, we can set up the equation:
RM1020 - (X/100) * RM1020 = RM969.
Now, we'll solve this equation to find the value of X:
RM1020 - (X/100) * RM1020 = RM969.
RM1020 - (X/100) * 1020 = 969.
RM1020 - 10.2X = 969.
Rearranging the equation:
10.2X = RM1020 - 969.
10.2X = 51.
Divide both sides of the equation by 10.2:
X = 51 / 10.2.
Simplifying the division, we get:
X = 5.
Therefore, the value of X is 5.
Thus, the third trade discount of 5% was applied to obtain a net price of RM969.