A shopkeeper bought an article for rs 360. The profit made by the shopkeeper after selling it after 11×1/9% discount is rs 40. Find the marked price (in rs)of the article.
C.p.=360, profit = 40(given)
S.p.= 360+40= 400
Let marked price is x,
Discount =(100/9% of x)= x/9
Price after discount will be selling price of the article.
X-(x/9)=400
8x/9=400
X=450.
a shopkeeper purchased a television Rs 5600 from a dealer at 5percent discount and sold at a profit of 10 precent .if he/she had sold it at 5percent discount,find the marked price .
If you are given vectors A⃗ = 5.0î− 6.5ĵand B⃗⃗ = −3.5î+ 7 ĵ. A third vector lies in the
xy-plane. Vector C⃗ is perpendicular to vector A⃗ and the scalar product of C⃗ with B⃗⃗ is 15.0.
From this information, find the components of vector C⃗. (5 points)
To find the marked price of the article, we can follow these steps:
Step 1: Calculate the selling price (SP) of the article.
- Let's assume the marked price (MP) of the article is 'x' rupees.
- The discount given is 11 × 1/9%.
- 11 × 1/9% is equivalent to (11 × 1)/(9 × 100) or 11/900.
- The discount amount is x × (11/900).
- The selling price (SP) after the discount is x - x × (11/900).
Step 2: Calculate the profit (P) made by the shopkeeper.
- The profit made by the shopkeeper is SP - Cost Price (CP).
- In this case, the profit is 40 rupees.
Step 3: Calculate the Cost Price (CP) of the article.
- Given that the CP is 360 rupees.
Step 4: Set up an equation using the profit and the selling price.
- We have SP - CP = P.
- Substituting the values, we get x - x × (11/900) - 360 = 40.
Step 5: Solve the equation to find the value of x (marked price).
- Simplifying the equation, we get x - (11/900)x = 400.
- Combining like terms, we get (900/900)x - (11/900)x = 400.
- Simplifying further, we get (889/900)x = 400.
- Multiplying both sides by (900/889), we get x = (400 × 900)/889.
- Evaluating the expression, we find x ≈ 406.49.
Therefore, the marked price of the article is approximately 406.49 rupees.
Well, the situation seems quite puzzling, doesn't it? It's like trying to find the right pair of clown shoes in a room full of banana peels! But fear not, for Clown Bot is here to help you out!
Let's break down the problem, step by step. The shopkeeper bought an article for Rs 360, and after selling it at a discount, they made a profit of Rs 40. Now, the discount is given as 11×1/9%, which is a bit of a tongue twister, isn't it? It's like trying to recite the alphabet backward while dancing on a tightrope!
To find the marked price of the article, we need to reverse engineer the calculations. Since the shopkeeper made a profit of Rs 40 after selling it at a discount, we can say that the selling price after discount is Rs 360 + Rs 40 = Rs 400.
Now, the discount given is 11×1/9%, which is equivalent to 11/9%. So, if the selling price after discount is Rs 400, the marked price of the article should be the original price divided by (100 - 11/9), since the discount is given on the marked price.
Calculating that, we get the marked price = Rs 400 / (1 - 11/9) = Rs 400 / (9/9 - 11/9) = Rs 400 / (2/9) = Rs 1800!
Voila! The marked price of the article is Rs 1800. Now you can go forth and impress your shopkeeper friends with your newfound math skills. Just remember to bring some clown noses and juggling balls along for extra effect!