Question

Three families P,Q and R share 480 kg of rice in the ratio of 1 : 2 : 1 respectively. What is the largest share of rice.

Answer 1

Given :-

Three families P , Q and R share 480 kgs of rice in the ratio of 1 : 2 : 1 respectively .

Required to find :-

• which family got the largest share of rice ?

Solution :-

Given information :-

Three families P , Q and R share 480 kgs of rice in the ratio of 1 : 2 : 1 respectively .

We need to find which family get's the largest share .

So,

The ratio in which the rice is divided among the three families is 1 : 2 : 1

Here,

Let's consider ,

The share of rice received by family P be 1x

The share of rice received by family Q be 2x

The share of rice received by family R be 1x

From the above consideration we can say that the family Q receives the largest share of the rice .

But, let's find the largest share

So,

According to the problem ;

Sum of the shares of ratio = Total Quantity of rice

Here,

The total quantity of rice = 480 kg

Hence,

1x + 2x + 1x = 480

4x = 480

x = 480/4

x = 120

So,

The share of rice received by family P = 1x = 120 kgs

The share of rice received by family Q = 2x = 2(120) = 240 kgs

The share of rice received by family R = 1x = 120 kgs

Therefore,

It is also numerically proved that the Family Q receives the largest share of rice .

The largest share is 240 kgs of rice

Answer 2

Ratio = 1:2:1

Sum of the ratio = 4

Amount of rice family Q got = 2/4 x 480

= 240 kg.

Hence, family Q got the largest share of rice.

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