A store keeper allows a discount of 70% to his customers and still gains 15%. Find the marked price approximately (in Rs) of an article which cost him Rs. 6000.
Choices:-
23000
24000
20000
18000
Answers
Given:
Discount=70%
Gain=15%
The cost price of article=Rs.6,000
To find:
The marked price of the article
Solution:
We can find the marked price by following the given process-
We know that the gain is calculated on the cost price and discount on the marked price.
The amount of gain= 15% of the cost price
=15×6,000/100
=15×60
=Rs.900
The selling price of the article will be the sum of cost price and gain.
Selling price=6,000+900
=Rs.6,900
We also know that the selling price is the difference between marked price and discount.
Let the marked price be x.
Discount=70% of x
The selling price of the article= Marked price- discount
6,900= x-70x/100
6,900=30x/100
x= Rs.23,000
Marked price, x= Rs.23,000
Therefore, the marked price of the article is Rs.23,000.
Answer: M.P. = Rs. 23000
Step-by-step explanation:
GIVEN : Discount = 70%
profit = 15 %
cost price = Rs. 6000
TO FIND = Marked price
Step By Step Explanation =
Profit % = ( profit / C.P ) x 100
15% = ( P/ 6000 ) x 100
P = 15 x 6000/ 100
P = Rs. 900
Selling price = Profit + Cost price
= 900 + 6000
S.P. = Rs.6900
Let us consider marked price = M ∴ discount = 70% of M
So, S.P. = Marked price - discount
6900 = M - (70/100)M
6900 = 30M/100
690000 = 30 M
M = Rs.23000
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