Selection Post Phase XIV (12th)23 Sep 2026Shift 2Ratio and Proportion

If P1 : P2 = 3 : 5 and P1 : P3 = 2 : 7, then P2 : P3 is

यदि P1 : P2 = 3 : 5 और P1 : P3 = 2 : 7 है, तो P2 : P3 है

Answer और ExplanationAnswer and explanation

Answer: (B) 10 : 21

P1 दोनों अनुपातों (Ratios) में साझा है, इसलिए दोनों में P1 को बराबर करें। 3 और 2 का LCM = 6।
P1 : P2 = 3 : 5 = 6 : 10
P1 : P3 = 2 : 7 = 6 : 21
अतः P1 : P2 : P3 = 6 : 10 : 21
✓
P2 : P3 = 10 : 21।
P1 is common, so make P1 the same in both ratios. LCM of 3 and 2 = 6.
P1 : P2 = 3 : 5 = 6 : 10
P1 : P3 = 2 : 7 = 6 : 21
So P1 : P2 : P3 = 6 : 10 : 21
✓
P2 : P3 = 10 : 21.
SMART APPROACH

P2 : P3 = P2P1 × P1P3 = 53 × 27 = 1021, यानी 10 : 21।

P2 : P3 = P2P1 × P1P3 = 53 × 27 = 1021, that is 10 : 21.

Source: Selection Post Phase XIV (12th) · 23 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 23 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.