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The sum of three terms is 16300. The ratio between first term and second term is 15:16 and the ratio between second term and the third term is 17:18.
Question

The sum of three terms is 16300. The ratio between first term and second term is 15:16 and the ratio between second term and the third term is 17:18. Find the difference between first and last term.

A.

680

B.

650

C.

670

D.

660

Correct option is D

Ratio of first : second = 15 : 16
Ratio of second : third = 17 : 18

Make second term equal:

First : Second = 255 : 272
Second : Third = 272 : 288

Final ratio = 255 : 272 : 288

Total ratio = 255 + 272 + 288
= 815

Sum of terms = 16300

Value of 1 part = 16300 / 815
= 20

First term = 255 × 20 = 5100
Last term = 288 × 20 = 5760

Difference = 5760 − 5100
= 660

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