Question

If A’s weight is 2/3 as that of B’s weight, what is the 'ratio of the weights' of A & B

Answer 1

Step-by-step explanation:

Let the initial weight of A and B be ‘7x’ and ‘8x’ units respectively

Total weight of A & B = 7x + 8x = 15x

When A’s weight increases by 10% & total weight increases by 20%,

⇒ A’s increased weight = 110% of 7x = 1.1 × 7x = 7.7x

⇒ Total increased weight = 120% of 15x = 1.2 × 15x = 18x

Hence,

B’s increased weight = 18x - 7.7x = 10.3x

⇒ Increase in B’s weight = 10.3x - 8x = 2.3x

∴ Percentage increase in B’s weight = 2.3x/8x × 100=28. 75℅

✍Hope it's helpful to you ✍

Answer 2

Concept

Ratio is the number of times one number is of other number. Suppose the ratio of two numbers is 1:2 it means that the second number is double the first number.

Given

Weight of A is 2/3 of the weight of B.

To find

The  ratio of weights of A and B.

Explanation

We know that ratio expresses one quantity in terms of another.

let B's weight is 100 kg.

According to given information A' weight=100*2/3

=66.67 kg.

We have assumed that B's weight is 100 kg. So the ratio of the weights of A and B =66.67:100

=1:1.5

Hence the ratio of weights of A and B is 1:1.5.

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