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A certain sum was divided among A, B and C in the ratio 7 : 5 : 4. If B got Rs 500 more than C, find the total sum divided. - Mathematics

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Question

A certain sum was divided among A, B and C in the ratio 7 : 5 : 4. If B got Rs 500 more than C, find the total sum divided.

Sum

Solution

Ratio between A, B and C = 7 : 5 : 4
Let A’s share = 7x
B’s share = 5x
and C’s share = 4x
Total sum
= 7x + 5x + 4x
= 16x
Now according to the condition,
5x – 4x = 500
⇒ x = 500
∴ Total sum = 16x
= 16 x 500
= ₹8000.

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Chapter 7: Ratio and Proportion - Exercise 7.1

APPEARS IN

ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 7 Ratio and Proportion
Exercise 7.1 | Q 18.1
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