Subject
Quantitative Aptitude
Topic
Percentage
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
ক)
2 : 3খ)
3 : 4গ)
4 : 3ঘ)
4 : 5ঙ)
NoneExplanation
৫% of A + ৪% of B = ২/৩ (৬% of A + ৮% of B) ⇒ ৫/১০০ × A + ৪/১০০ × B = ২/৩ (৬/১০০ × A + ৮/১০০ × B) ⇒ ৫A/১০০ + ৪B/১০০ = ২/৩ (৬A/১০০ + ৮B/১০০) ⇒ (৫A + ৪B)/১০০ = ২/৩ × (৬A + ৮B)/১০০ ⇒ ৩(৫A + ৪B) = ২(৬A + ৮B) ⇒ ১৫A + ১২B = ১২A + ১৬B ⇒ ১৫A - ১২A = ১৬B - ১২B ⇒ ৩A = ৪B ⇒ A/B = ৪/৩ ⇒ A : B = ৪ : ৩Related questions
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