What approximate value should come in place of question mark (?) in the following equation.

$86.98+914.02-324.98\%\text{of}?=129.94\%\text{of}259.89$

The correct answer is 204.

Step-by-step explanation:

We are given the following approximation equation:

$86.98+914.02-324.98\%\text{of}?=129.94\%\text{of}259.89$

Step 1: Round off numbers to their nearest integers for simpler calculation:
• 86.98 ≈ 87
• 914.02 ≈ 914
• 324.98% ≈ 325%
• 129.94% ≈ 130%
• 259.89 ≈ 260

Step 2: Substitute these rounded values into the original equation:

$87+914-325\%\text{of}?=130\%\text{of}260$

Step 3: Simplify both sides of the equation:
Sum of constant terms on the left-hand side:
87 + 914 = 1001

Value on the right-hand side:
130% of 260 = (130 / 100) × 260 = 1.3 × 260 = 338

Step 4: Rewrite the equation with simplified values:

$1001-325\%\text{of}?=338$

Step 5: Rearrange to solve for 325% of (?):

$325\%\text{of}?=1001-338$

$325\%\text{of}?=663$

Step 6: Compute the missing value (?):
Convert 325% to a fraction:
325% = 325 / 100 = 13 / 4

$\frac{13}{4}\times ?=663$

$?=\frac{663\times 4}{13}$

Dividing 663 by 13 gives 51:

$?=51\times 4=204$

Thus, the approximate value in place of the question mark (?) is 204.