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Question 79

If an amount of Rs 7380 is divided among 3 persons A, B, C in the ratio 5 : 6 : 7, then the difference of the amounts received by A and C, in rupees is

Solution

As per the given question,

A, B and C are in the ratio $$5:6:7$$

Hence, A received $$= 5x$$

B received $$=6x$$

And C received $$=7x$$

As per the question, $$5x+6x+7x=7380$$

$$\Rightarrow 18x=7380$$

$$\Rightarrow x=\dfrac{7380}{18}=410$$

Hence, A will receive $$=410\times 5=2050$Rs.

C will receive $$=410\times 7=2870$$Rs.

Hence, the required difference $$=2870-2050=820$$

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