Important for :

1

B

Total number of workers need to complete the work in 3 days = M1D1 = M2D2Let the number of workers = x

then 54 × 8 = X × 3, x = 18 × 8 = 144

Each worker will receive =

3240 | = 22.5 | |

144 |

In the first case when the work was completed in 8 days each worker received

= | 3240 | = 60 |

54 |

Required difference = Rs. 37.5

Hence, option B is correct.

2

3

A

Let the quantity of milk in the original mixture = x litres

And the quantity of water = y litres

The total quantity of mixture = x + y litres

When 1 litre of water is added then the total quantity of the mixture = x + y + 1 litres

According to the question, x = quantity of milk = 40% of (x + y + 1)

3x = 2y + 2 .... (i)

After adding another 1 litre of water, the quantity of mixture = x + y + 1 + 1 = x + y + 2 litres

Now, according to the question, x = quantity of milk will become = 33.33% of (x + y + 2)

3x = x + y + 2

2x = y + 2 ..... (ii)

Bu solving equation (i) and equation (ii)

X = 2 and y = 2

The concentration of the milk in the mixture

And the quantity of water = y litres

The total quantity of mixture = x + y litres

When 1 litre of water is added then the total quantity of the mixture = x + y + 1 litres

According to the question, x = quantity of milk = 40% of (x + y + 1)

3x = 2y + 2 .... (i)

After adding another 1 litre of water, the quantity of mixture = x + y + 1 + 1 = x + y + 2 litres

Now, according to the question, x = quantity of milk will become = 33.33% of (x + y + 2)

3x = x + y + 2

2x = y + 2 ..... (ii)

Bu solving equation (i) and equation (ii)

X = 2 and y = 2

The concentration of the milk in the mixture

= | 2 × 100 | = 50% |

4 |

Hence, option A is correct.

4

5

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