The sum of three terms is 24350. If the ratio between first term and second term is 27 : 28 and that of second term to the third term is 29 : 30. Find the difference between first and last term.

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Question

This question was previously asked in

OSSC TGT Official Paper (Held On: 11 Mar, 2023 Shift 3)

Answer 1

Given:

Sum of three terms = 24350

First : second = 27 : 28

Second : third = 29 : 30

Calculation:

First : second = (27 : 28) × 29 = 783 : 812

Second : third = (29 : 30) × 28 = 812 : 840

Ratio of First : Second : Third = 783 : 812 : 840

Let the first, second, and third terms be 783x, 812x, and 840x, respectively.

So, 783x + 812x + 840x = 24350

⇒ 2435x = 24350

⇒ x = 10

First term = 783x = 7830

Second term = 812x = 8120

Third term = 840x = 8400

Difference between first and last term:

Third term - First term = 8400 - 7830 = 570

The difference between the first and last term is 570.