When the fare of an airlines between Mumbai and Delhi was reduced in the ratio 7:5, the cost of a ticket becomes ₹7105. Find the decrease in the fare.
Answers
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Step-by-step explanation:
Given :-
When the fare of an airlines between Mumbai and Delhi was reduced in the ratio 7:5, the cost of a ticket becomes ₹7105.
To find :-
Find the decrease in the fare ?
Solution :-
Let the original price of the fare of an airlines between Mumbai and Delhi be
₹ X
The cost of the ticket after reduced
= ₹ 7105
The ratio of the original fare and fare after reducing price = X : 7105
According to the given problem
The ratio of the fare to reduced fare = 7:5
=> X : 7105 = 7:5
=> X/7105 = 7/5
On applying cross multiplication then
=> 5×X = 7×7105
=> 5X = 49735
=> X = 49735/5
=> X = 9947
The Original fare of the ticket = ₹ 9947
The fare of the ticket after reduced
= ₹ 7105
The price decreased in the fare
= Original fare - Fare after reduced
= 9947 - 7105
= ₹ 2842
Answer :-
The price decreased in the original fare of the ticket is ₹ 2842