Discount Calculation for Pens and Notebooks
What is the total discount Sushil received on pens?
Sushil bought pens and notebooks in a certain ratio, received discounts on both items, and paid a total of $2700 to the shopkeeper. How much discount did Sushil receive specifically on pens?
Sushil received a discount of $150 on pens.
To find the total discount Sushil received on pens, we need to determine the cost of the pens before the discount. Let's first determine the cost ratios between the pens and notebooks. The ratio is given as 2:3, which means that for every 2 pens, there are 3 notebooks. Next, we determine the ratio of the number of pens to notebooks purchased by Sushil, which is 5:4. This means that out of every 9 items, 5 are pens and 4 are notebooks. Now, let's say the cost of 1 pen is x and the cost of 1 notebook is y. Using the ratios, we can set up the equation 2x + 3y = cost of 1 set of pen and notebook. Similarly, for Sushil's purchase, we have 5x + 4y = cost of Sushil's purchase. Given that the total cost of Sushil's purchase is $2700, we can solve the system of equations. After solving, we find that x = $300 and y = $400. Therefore, Sushil got a discount of 10% on pens, which amounts to $30 per pen. The total discount received on pens can be found by multiplying the number of pens purchased (5) by the discount received per pen ($30), resulting in a total discount of $150 on pens.
In this scenario, Sushil bought pens and notebooks in a certain ratio and received discounts on both items from the shopkeeper. The ratio of the pens and notebooks was 2:3, and the ratio of the number of items purchased by Sushil was 5:4. The total amount paid by Sushil was $2700, and the discount rates were 10% for pens and 25% for notebooks.
To calculate the total discount Sushil received specifically on pens, we followed a series of steps. First, we determined the cost ratios between pens and notebooks based on the given ratios. Then, we calculated the cost of 1 pen and 1 notebook using variables x and y. By setting up equations, we determined the cost of Sushil's purchase and found x = $300 and y = $400.
After establishing the cost of the pens before the discount, we calculated the discount rate of 10% per pen. By multiplying the number of pens purchased by Sushil with the discount per pen, we arrived at a total discount of $150 on pens. This detailed calculation helped us determine the specific discount amount Sushil received on pens.