जर x : y = 6 : 5 आणि z : y = 9 : 25 असेल, तर x : z चे गुणोत्तर किती असेल?

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SSC GD Previous Paper 3 (Held On: 11 Feb 2019 Shift 3)
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  1. 50 : 33
  2. 54 : 124
  3. 10 : 3
  4. 48 : 24

Answer (Detailed Solution Below)

Option 3 : 10 : 3
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दिलेले आहे:

x : y = 6 : 5

आणि z : y = 9 : 25

गणना:

x/y = 6/5 ---- (i)

आणि z/y = 9/25

⇒ y/z = 25/9 ---- (ii)

समीकरण (i) आणि (ii) गुणाकार करून आपल्याला मिळते,

(x/y) x (y/z) = (6/5) x (25/9)

⇒ x/z = 10/3

∴ x : z = 10 : 3

Alternate Method

x : y = 6 : 5     ----- (i)

आणि z : y = 9 : 25 ---- (ii)

y दोन्ही गुणोत्तरांमध्ये असल्याने, दोन्ही गुणोत्तरांमध्ये y चे समान मूल्य करण्यासाठी (i) x 5 चा गुणाकार करू 

x : y = (6 : 5) × 5 = 30 : 25    ---- (iii)

(ii) आणि (iii) पासून, दोन्ही गुणोत्तरांमध्ये y समान असल्याने

x : z = 30 : 9 = 10 : 3

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