if a ratio b is 2 ratio 3 and B ratio C is 4 ratio 5 find divide rupees 2625 among A B and C in the proportion as obtained above
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Answer: a = 600; b = 900; c = 1125
Step-by-step explanation:
Given,
a:b=2:3
---> a= 2x and b=3x ( equation 1)
b:c=4:5
---> b=4y ( equation 2) and c=5y
From (1) and (2), b=3x=4y
---> x= 4y/3
Therefore a=2x = 2(4y/3) = 8y/3
a+b+c=2625
---> 8y/3 + 4y + 5y = 2625
---> 35y/3 =2625
---> y = 2625 × 3 / 35
= 75 ×3 = 225
Therefore a = 225 ×8 / 3 = 600
b= 225 × 4 = 900
c= 225 × 5 = 1125
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