The height of a tomb increases by 22% in first year. In the next year,

1.	The height of a tomb increases by 22% in first year. In the next year, the height further increases by 10% and becomes 503.25 meters. Find the initial height of the tomb. 1. 457.5 meters2. 375 meters3. 420 meters4. 355 meters
Answer» Correct Answer - Option 2 : 375 meters Given: The height of a tomb increases by 22% in first year In the next year, the height further increases by 10% and becomes 503.25. Calculation: Let the height of the tomb be x meters. The height of a tomb after first year = x + 22% of x ⇒ 1.22x The height of tomb next year = 503.25 ⇒ 10% of 1.22x = 503.25 ⇒ 1.1 × 1.22x = 503.25 ⇒ x = 375 ∴ The initial height of the tomb is 375 meters.

The height of a tomb increases by 22% in first year. In the next year, the height further increases by 10% and becomes 503.25 meters. Find the initial height of the tomb. 1. 457.5 meters2. 375 meters3. 420 meters4. 355 meters

Answer» Correct Answer - Option 2 : 375 meters

Given:

The height of a tomb increases by 22% in first year

In the next year, the height further increases by 10% and becomes 503.25.

Calculation:

Let the height of the tomb be x meters.

The height of a tomb after first year = x + 22% of x

⇒ 1.22x

The height of tomb next year = 503.25

⇒ 10% of 1.22x = 503.25
⇒ 1.1 × 1.22x = 503.25

⇒ x = 375

∴ The initial height of the tomb is 375 meters.

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The height of a tomb increases by 22% in first year. In the next year, the height further increases by 10% and becomes 503.25 meters. Find the initial height of the tomb. 1. 457.5 meters2. 375 meters3. 420 meters4. 355 meters

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