A shop keeper gives an offer 'buy one get one free'on the suits marked at Rs.630 each and still makes a profit if 20%. Find the C.P of each
suit
let the original cost price be c each
1.2(2c) - 2c = 630
.4c = 630
c = 1575
check:
cost price of two suits = 2(1575) = 3150
selling price = 1.2(3150) = 3780
profit = 630
To find the cost price (C.P.) of each suit, we need to use the information given in the question. Let's break it down step by step:
1. The marked price of each suit is Rs. 630.
2. The shopkeeper offers a "buy one get one free" deal, which means we are essentially getting two suits for the price of one.
3. The shopkeeper still makes a profit of 20% after giving this offer.
Let's calculate the selling price (S.P.) of two suits:
S.P. = Marked Price - Discount + Profit
Since we are getting one suit for free, the discount can be considered as the price of one suit, which is Rs. 630.
Discount = Rs. 630
Profit = 20% of the cost price
= 20/100 * Cost Price
= 0.2 * Cost Price (since 20% = 0.2)
Now, we can calculate the selling price of two suits:
S.P. = Rs. 630 - Rs. 630 + 0.2 * C.P. (since the discount is equal to the marked price)
S.P. = 0.2 * C.P.
The shopkeeper still makes a profit of 20%, so the selling price is 120% of the cost price.
120/100 * C.P. = 0.2 * C.P.
Simplifying the equation:
1.2 * C.P. = 0.2 * C.P.
Dividing by C.P. on both sides:
1.2 = 0.2
This equation has no solution, which means it is not possible for the shopkeeper to offer a "buy one get one free" deal and still make a 20% profit.
Therefore, there seems to be an error or contradiction in the given information.