If CR : RS = 2 : 3 and RS : SD = 5 : 6, then S divides line segment CD in the ratio .
A
5 : 8
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B
18 : 24
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C
25 : 18
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D
5 : 12
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Solution
The correct option is C 25 : 18 Given CR:RS = 2:3 and RS:SD = 5:6 CRRS=23⇒CRRS+1=23+1⇒CR+RSRS=53⇒CSRS=53−−−(1)SDRS=65−−−(2)
Dividing equation (1) by (2), ⇒CSSD=2518
Hence S divides the line segment CD in the ratio of 25:18.