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# Question

# Answer

Orckids

Base area of B is 3 times more than A.

When height in both tanks is same, volume of water in B must be thrice the volume in A.

So ratio of volume of water in A and B

A : B

2 : 6

When height of water in B is twice the height of water in A, volume of water must be 6 times more than A. So ratio of water volume in A and B will become 1 : 6

A | B | Total | |

Initial | 2 | 6 | 8 |

After transfer | 1 | 6 | 7 |

Total volume must be same, hence we should make them same.

A | B | Total | |

Initial | 14 | 42 | 56 |

After transfer | 8 | 48 | 56 |

Difference in volume for A = 14U – 8U = 6U.

6U = 1200, 1u = 200.

a) Water in B = 42U = 42 x 200 = 8400 cm^{3}

b) Volume of water in A = 14u = 14 x 200 = 2800.

2800 + 8400 = 11200

11200 / 140 = 80cm^{2}

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