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There are four groups of Mangoes, Apples and Bananas as
follows:

Group I : 1 Mango, 1 Apples and 1 Banana

Group II : 1 Mango, 5 Apples and 7 Bananas

Group III : 1 Mango, 7 Apples and 10 Bananas

Group IV : 9 Mango, 23 Apples and 30 Bananas

Group II costs Rs 300 and Group III costs Rs 390.

Can you tell how much does Group I and Group IV cost?

Answer Posted / guest

Group I costs Rs 120 and Group IV costs Rs 1710

Assume that the values of one mango, one apple and one
banana are M, A and B respectively.

From Group II : M + 5A + 7B = 300

From Group III : M + 7A + 10B = 390

Subtracting above to equations : 2A + 3B = 90

For Group I :

= M + A + B

= (M + 5A + 7B) - (4A + 6B)

= (M + 5A + 7B) - 2(2A + 3B)

= 300 - 2(90)

= 300 - 180

= 120

Similarly, for Group IV :

= 9M + 23A + 30B

= 9(M + 5A + 7B) - (22A + 33B)

= 9(M + 5A + 7B) - 11(2A + 3B)

= 9(300) - 11(90)

= 2700 - 990

= 1710

Thus, Group I costs Rs 120 and Group IV costs Rs 1710.

Is This Answer Correct ?    15 Yes 2 No



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