in flood victim relief fund each house of a locality of a town donated in rupees equal to half the number of house. if the total donation is rs 6272,find the number of house. how many rupees each house contributed?
Answers
Step-by-step explanation:
Given :-
In flood victim relief fund each house of a locality of a town donated in rupees equal to half the number of house. And the total donation is
Rs. 6272.
To find:-
Find the number of house. ?
How many rupees each house contributed?
Solution:-
Let the number of houses in the locality of a town be X
Half of the houses = (1/2)×X = X/2
Donation of each house in the locality of the town
= half of the number of houses
= Rs. X/2
Total donation = X×X/2 = Rs. X²/2
According to the given problem
Total donation = Rs. 6272
=> X²/2 = 6272
=> X² = 6272×2
=> X² =12544
=> X = √12544
=> X = 112
Number of houses = 112
Donation of each house
= X/2
= 112/2
= 56
Donation of each house = Rs. 56
Answer:-
Total number of houses in the locality of the town = 112
Donation of each house in the locality of the town= Rs. 56
