Question

In a mixture of 350 litres, the ratio of oil A to oil B is 5:2. This ratio is made 2:5 by adding more oil B to the mixture. What per cent of oil B does
the resulting mixture have?
67.74
69.24
O 71.43
O 73.74​

Answer 1

Answer:

73.74

Step-by-step explanation:

hope you like the answer

Answer 2

The per cent of oil B does he resulting mixture have is 71.43% and option (c) is correct.

Step-by-step explanation:

Given:

A mixture of 350 litres.

The ratio of oil A to oil B is 5:2.

This ratio is made 2:5 by adding more oil B to the mixture.

To Find:

The per cent of oil B does he resulting mixture have,

Solution:

Total mixture=350 liter

Amount of oil A =5 p

Amount of oil B  = 2 p

Therefore we have

$5p+2p=350$

$7p=350$

$p=50\ liter$

Amount of oil A $=5p=5\times50=250 \ liter$

Amount of oil B  $=2p=2\times50=100 \ liter$

As given,This ratio is made 2:5 by adding more oil B to the mixture.

Let q liters of oil B is added then the amount of oil B$=100+q$.

Amount of oil A $=250\ liter$.

The  ratio  of resultant mixture =2:5.

$250:(100+q)=2:5$

$\frac{250}{100+q} =\frac{2}{5}$

$250 \times5=2(100+q)$

$1250=200+2q$

$1250-200=2q$

$1050=2q$

$q=\frac{1050}{2}$

   $=525\ liter$

The amount of oil B in resultant mixture $=100+q$.

                                                                   $=100+525= 625 \ liter$

The amount of resultant mixture $= 250+625=875\ liter.$

The per cent of oil B does he resulting mixture $=\frac{626}{875} \times100=71.43\%$

Thus,the per cent of oil B does he resulting mixture is $71.43\%$  and option (c) is correct.

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