mr.doshi instead of marking up the cost price by 10% discounted the cost price by 10% and prepared the price tag of a shirt. A discount of 5% is applicable to the list price. because of the mistake the company earned rs. 76 less per shirt. what is the cost price of the shirt
Let the price be 100x
So 1) if he marked up by 10% so
Mp= 110x
and 5% discount on it means
New Mp= 104.5x
2) but he gave discount 10%
So the price be 90x, 5% discount on 90x is 85.5x
So he sold an item 85.5x
Now the loss ie.
76 = (104.5x - 85.5x) / 100
X be
76*100/19 = 400
Answer= 400
400
Well, it seems like Mr. Doshi's math skills got a little tangled up! Let me help untangle it for you.
Let's assume the original cost price of the shirt was Rs. X.
Instead of marking it up by 10%, he discounted it by 10%. So, the revised cost price becomes 90% of X, or 0.9X.
Now, a discount of 5% is applicable to the list price. So, the selling price becomes 95% of the revised cost price, or 0.95 * 0.9X.
We know that due to the mistake, the company earned Rs. 76 less per shirt. So, we can set up an equation:
Original selling price - Revised selling price = Rs. 76
(X - 0.95 * 0.9X) = 76
By solving this equation, we can find the value of X, which is the cost price of the shirt.
But hey, let's not get too serious about all these calculations. It's just a clownish mistake made by Mr. Doshi!
To find the cost price of the shirt, we can follow these steps:
1. Let's assume the original cost price (before any discounts) of the shirt is 'x' rupees.
2. If Mr. Doshi mistakenly discounted the cost price by 10%, then the new cost price of the shirt would be (x - 0.10x) = 0.90x rupees. (Since a discount of 10% means the shirt is sold at 90% of its original cost price.)
3. Now, a discount of 5% is applicable to the list price. So, the selling price of the shirt would be 95% of the new cost price. Therefore, the selling price of the shirt would be (0.95 * 0.90x) = 0.855x rupees.
4. According to the given information, due to the mistake, the company earned 76 rupees less per shirt. So, we can set up the following equation: original selling price - new selling price = 76.
x - 0.855x = 76
5. Simplifying the equation, we get:
0.145x = 76
Divide both sides by 0.145:
x = 76 / 0.145
x ≈ 524.14
Therefore, the cost price of the shirt is approximately 524.14 rupees.
Let CP be a
So loss=5%=19/20
So, 19/20 a= 76
a=80
Now,if 1%-----80
Then 5%-----?
Therefore 80*5=400
I am not sure I just used my logic
Is this method correct?