Question

67. Expense of A and B are Rs 60 and 40 respectively.
Find the ratio.​

Answer 1

Answer:

The amount of A in the solution is 20g in 100g of water,

The amount of B in the solution is 30g in 100g of water,

The amount of C in the solution is 40g in 100g of water.

After mixing

the amount of A in the solution is 20×3g=60g in 100×3g=300g of water,

the amount of B in the solution is 30×5g=150g in 100×5g=500g of water,

the amount of C in the solution is 40×xg=40xg in 100×xg=100xg of water.

So the final solution contains (60+150+40x)g=(210+40x)g of the given substances in (300+500+100x)g=(800+100x)g of water.

So the concentration, which is 30% is,

800+100x

210+40x

=

100

30

⟹2100+400x=2400+300x

⟹100x=300

⟹x=3.