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the future. The allotment officer is trying to come up with a method to calculate fair division of funds
across various affected families so that the fund amount and amount received per family can be easily
adjusted based on daily revised numbers. The total fund allotted is formulated by the officer is(x + 6x +
20x + 9). The officer has also divided the fund equally among families of the village and each family
receives an amount of ( x + 2x + 2). After distribution, an amount of (10x + 1) is left.
(i) How many families are there in the village?
(a) x + 4
(b) x-3
(c) x-4
(d) x + 3
(ii) If an amount of Rs 1911 is left after distribution, what is value of x?
(a) 190
(b) 290
(c) 191
(d) 291
(iii) How much amount does each family receive?
(a) 24490
(b) 34860
(c) 22540
(d) 36865
(iv) What is the amount of fund allocated?
(a) Rs 7272759 (b) Rs 7572681 (c) Rs 6972846 (d) Rs 8274888
(v) How many families are there in the village?
(a) 191
(b) 98
(C) 187
(d) 195
rve International Circuit are analysing last
Answers
Given : The total fund allotted is formulated by the officer is x³ + 6x² + 20x + 9
divided the fund equally among families of the village
each family receives an amount of x² + 2x + 2 and After distribution, an amount of 10x+ 1 is left
To Find : How many families are there in the village
an amount of ₹1911 is left after distribution, what is value of x
How much amount does each family receive
How many families are there in the village
Solution :
x + 4
x² + 2x + 2 _| x³ + 6x² + 20x + 9 |_
x³ + 2x² + 2x
___________
4x² + 18x + 9
4x² + 8x + 8
________________
10x + 1
x + 4 families are there in the village
10x + 1 = 1911
=> 10x = 1910
=> x = 191
amount each family receive x² + 2x + 2
= 191² + 2(191) + 2
= 36865
amount of fund allocated = x³ + 6x² + 20x + 9
191³ + 6(191²) + 20(191)+ 9
= 71,90,586
families are there in the village = 191 + 4 = 195
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Answer:
families in the village is = 195