| Directions: (11 - 15) |
| On her birthday, Seema decided to donate some money to children of an orphanage home. If there were 8 children less, everyone would have got Rs 10 more. However, if there were 16 children more, everyone would have got Rs 10 less. Let the number children be x and the amount distributed by Seema for one child by y (in Rs) |
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| Based on the information given above, answer the following question : |
A) \[5x-4y=40,\text{ }5x-8y=-80\]
B) \[5x-4y=40,\text{ }5x-8y=80\]
C) \[5x-4y=40,\text{ }5x+8y=-80\]
D) \[5x+4y=40,\text{ }5x-8y=-80\]
Correct Answer: A
Solution :
Here \[\left( x-8 \right)\left( y+10 \right)=xy\] \[\Rightarrow \,\,xy+10x-8y-80=xy\] \[\Rightarrow \,\,5x-4y=40\] Also \[\left( x+16 \right)\left( y-10 \right)=xy\] \[\Rightarrow xy-10x+16y-160=xy\] \[\Rightarrow \,\,5x-8y=-80\]
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