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Question
The interest received by Karim is ₹ 30 more than that of Ramesh. If the total interest received by them is ₹ 70, find the interest received by Ramesh.
Solution
Let the interest received by Karim be ₹ x and then the interest received by Ramesh will be ₹ (x – 30). So, the interest received by both will be ₹ (x + x – 30)
According to the question, x + x – 30 = 70
⇒ 2x = 70 + 30 ......[Transposing (–30) to RHS]
⇒ 2x = 100
⇒ x = ₹ 50 .....[Dividing both sides by 2]
So, the interest received by Ramesh = ₹ (x – 30) = ₹ (50 – 30) = ₹ 20.
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