Dipa is seven years older than Shikha. Fifteen years ago, Shika’s age was three quarters of Dipa’s age. Find the present age of Dipa.

Dipa is seven years older than Shikha. Fifteen years ago, Shika’s age was three quarters of Dipa’s age. Find the present age of Dipa. Correct Answer 43 years

Given, fifteen years ago, Shika’s age was three quarters of Dipa’s age i.e.:

Shika’s age = 3 / 4 Dipa’s age

Let, fifteen years ago Shika’s age = 3x and Dipa’s age = 4x

Also given, Dipa is seven years older than Shikha.

4x - 3x = 7

x = 7

Fifteen years ago Dipa’s age = 4 × 7 = 28

Thus, present age of Dipa = 28 + 15 = 43

Hence, ‘43 years’ is the correct answer.

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In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Find the rate of simple interest per annum. Statement I: Shikha borrowed Rs. 2000 from Suman for two years at simple interest. Statement II: Shikha returned Rs. 2320 to Suman at the end of two years and settled the loan. Statement III: The interest paid by Shikha is Rs. 320.