Multiple choice

A sum is divided among P,Q,R and S such that the ratio between P and Q is 3:5, Q and R is 6:7 and R and S is 8:9. What is the ratio of money between P and S. एक धन P,Q,R और S में एक प्रकार बाँटा गया कि P और Q में अनुपात 3 : 5 है, Q और R में अनुपात 6 : 7 और R और S में अनुपात 8 : 9 है। P और S को प्राप्त होने वाले भागों का अनुपात है-

  1. 36:35

  2. 16:35

  3. 33:37

  4. 19:21
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find P:S, we need to align the ratios: P:Q = 3:5 = 18:30, Q:R = 6:7 = 30:35, R:S = 8:9. Now P:Q:R = 18:30:35. For R:S = 8:9, if R = 35, we need to scale so 8k = 35, giving k = 35/8. Then S = 9k = 9(35/8) = 315/8. So P:S = 18:(315/8) = 144:315 = 16:35.

Keep practicing — related questions