Join 60,000+ competitive exam aspirants
or with email
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Join 60,000+ competitive exam aspirants
₹ 2,000 is divided between A and B such that half of A's part and one-third of B's part are equal. What is B's part (in ₹)?
1,200
800
1,000
600
1,200
Express the relation as a ratio: if (1/2)A=(1/3)B, then A:B=2:3. B's share is 53 of the total sum.
Total amount = ₹ 2,000, A + B = 2000, (1/2)A = (1/3)B
BA=32,B=(2+33)×2000
Express the relation as a ratio: if (1/2)A=(1/3)B, then A:B=2:3. B's share is 53 of the total sum.
Many students mistake the ratio to be 3:2 instead of 2:3, leading them to calculate A's share instead of B's.
Establish the relationship between A and B
Given that half of A's part equals one-third of B's part, we can write the equation as 2A=3B
3A=2B⟹BA=32
Determine the ratio and total parts
The ratio of A to B is 2:3. The sum of the ratio parts is 2+3=5.
A:B=2:3,Total parts=5
Calculate B's share
B's share is the fraction 53 of the total amount of ₹ 2,000.
B=53×2000=3×400=1200
A is correct because the calculation yields B's part as ₹ 1,200.
This ratio-based distribution is a fundamental skill for solving complex partnership and mixture problems in competitive exams.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download • 100K+ Aspirants