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Q2:
If a double stranded DNA has 20 per cent of cytosine, calculate the per cent of adenine in the DNA.

Solution :

Step 1: Theoretical Foundation: Chargaff’s Rules

According to Chargaff’s Rules for double-stranded DNA (dsDNA), the amount of purines is equal to the amount of pyrimidines. Specifically, the base pairing follows the principle of complementarity: Adenine ($A$) pairs with Thymine ($T$), and Cytosine ($C$) pairs with Guanine ($G$). Therefore, the molar ratios are defined by the following equations [Per Chargaff’s Rule]:

  • $A = T$
  • $C = G$
  • $A + T + C + G = 100\%$

Step 2: Assigning Given Variables

Given the percentage of Cytosine ($C$) in the DNA molecule:

$C = 20\%$

Based on the complementary base-pairing rule ($C = G$), we can derive the percentage of Guanine:

$G = 20\%$

Step 3: Calculating Total Purine and Pyrimidine Content

Since the total composition of nitrogenous bases in the DNA molecule must equal $100\%$, we establish the following summation:

$(A + T) + (C + G) = 100\%$

Substitute the known values of $C$ and $G$ into the equation:

$(A + T) + (20\% + 20\%) = 100\%$

$(A + T) + 40\% = 100\%$

$(A + T) = 100\% - 40\% = 60\%$

Step 4: Determining the Percentage of Adenine

Per the rule of complementarity, $A = T$. Therefore, we can express the sum $(A + T)$ as $2A$:

$2A = 60\%$

$A = \frac{60\%}{2}$

$A = 30\%$

Visual Representation of Base Composition

A (30%) T (30%) C (20%) G (20%)

Final Solution: The percentage of Adenine in the DNA is 30%.


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