Chandresh’s shop sold shirts and pants at a fixed price. Each pair of pants was priced at $27. The ratio of the price of a shirt to the price of a pair of paints was 2:3. Yesterday, Chandresh collected $756 from the sale of 1/3 of the items in his shop. 2/5 of the items sold were pants.
(a) How many shirts did he sell yesterday
(b) Find the total number of shirts and pants left.
To solve this problem, we need to break it down into steps.
Step 1: Calculate the price of a shirt.
Since the ratio of the price of a shirt to the price of a pair of pants is 2:3, we can find the price of a shirt by multiplying the price of pants by 2/3.
Price of a shirt = (2/3) * $27 = $18.
Step 2: Calculate the total revenue from yesterday's sales.
Given that Chandresh collected $756 from the sale of 1/3 of the items, we can calculate the total revenue from yesterday's sales as (3/1) * $756 = $2268.
Step 3: Calculate the number of pants sold.
Since 2/5 of the items sold were pants, we can calculate the number of pants sold by multiplying the total number of items sold by 2/5.
Number of pants sold = (2/5) * (1/3) * Total number of items sold = 2/15 * Total number of items sold.
Step 4: Calculate the number of shirts sold.
To find the number of shirts sold, we need to subtract the number of pants sold from the total number of items sold.
Number of shirts sold = Total number of items sold - Number of pants sold.
Number of shirts sold = (1 - 2/15) * Total number of items sold.
Step 5: Calculate the total number of items.
The total number of items left can be obtained by subtracting the total number of items sold from the total number of items in Chandresh's shop.
Total number of items = Total number of items in shop - Total number of items sold.
Let's summarize the calculations:
(a) Number of shirts sold = (1 - 2/15) * Total number of items sold.
(b) Total number of items = Total number of items in shop - Total number of items sold.
Please provide the total number of items in Chandresh's shop to proceed with the calculations.