A 20 reduction in the unit cost of an article enables one to buy 25 items more for rs 1000
Answers
Answer:initially the rate was 40 rs.
Step-by-step explanation:
let initially the price of an item x rs.
after reduction of 20 rs. he can buy 25 more items.
so
x = 40 rs. because price can not be negative.
so initially he buy an item in 40 rs.
The original cost of the item would be Rs. 10
Explanation:
Let the original price of the item be x
Given that,
Reduction in its unit cost = 20%
= 20% of x
= x/5
Now,
The new unit cost would be x - x/5
= 4x/5
Let us assume that,
For every Rs. 1000, y items are bought
Thus,
1000 Rs. = Original price of the item * items bought
∵ ...(i)
A.T.Q.
For the same amount, extra 25 units can be bought.
1000 = New unit price of items * New no. of items
∵ ...(ii)
By substituting the values of equation (i) in (ii),
×
⇒
⇒
⇒
∵
Thus, the original price is Rs. 10.
Learn more: Unit cost
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