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If 4 Mango and 3 Orange together cost Rs. 3150 and 2 Mango and 4 orange together cost Rs. 2200, then find the difference between 4 mango and 3 orange?

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If 4 Mango and 3 Orange together cost Rs. 3150 and 2 Mango and 4 orange together cost Rs. 2200, then find the difference between 4 mango and 3 orange?
1). 825
2). 700
3). 1650
4). 2350


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Let cost of each mango be X and cost of each orange be Y. then we have the following equation from the given data

4x + 3y = 3150   ----(1)

2x + 4y = 2200   ----(2)

To solve these two equation , multiply the second equation by 2 and then subtract one from 2 we get , y = 250

4x + 3(250) = 600

The cost of each mango is Rs. 600 and the cost of each orange is Rs. 250

 Then, the cost of 4 mango is 4 ×  600 = 2400 and 3 orange is 3 ×  250 = 750

∴ Then the difference between 4 mango and 3 orange = 2400 - 750 = 1650

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