If a = (2/7)b and b = (7/3)c, then what percent of a is c?

Question

If  a = \frac{2}{7}b  and  b = \frac{7}{3}c , then what percent of a is c?

(A)  50\%

(B)  57 \frac{1}{7}\%

(C)  66 \frac{2}{3}\%

(D)  125\%

(E)  150\%

rajatchopra1994 · Answer

Explanation:

a=(2/7)b and b=(7/3)c
so, a = {2/7 x 7/3}c
a=(2/3)c
a=0.66c

66.6%

IMO-C

yashikaaggarwal · Answer

a=2/7b and b=7/3c
a= 2/7*7/3*c
a = 2/3c
c = 3/2a
c = 1.5a
therefore c is 150% of a

Answer is E

Nipungupta9081 · Answer

Given 
A = 2/7b 
B = 7/3c

So A = 2/7*7/3*c 
 A = 2/3*C
 a = 1.5*c
 C = 1.5A
 C = 150% A

Answer E

Posted from my mobile device

Archit3110 · Answer

target is find
a* x/100 = c
x/100= c/a
we know  a = \frac{2}{7}b  and  b = \frac{7}{3}c 
x/100= 3b/7 *7/2b
x/100 = 1.5
x=150
option e

Babineaux · Answer

a/b = 2/7;
b/c = 7/3;

Hence,
a/b x b/c = 2/7 x 7/3
=> a/c = 2/3
=> c/a = 3/2 = 1.5, i.e., 150%

IMO ans is E

luisdicampo · Answer

Deconstructing the Question

We are given:

a = \frac{2}{7}b

b = \frac{7}{3}c

We want to find what percent of  a  is  c .

Step-by-step

Substitute:

a = \frac{2}{7} \cdot \frac{7}{3}c

Cancel 7:

a = \frac{2}{3}c

Multiply both sides by  \frac{3}{2} :

c = \frac{3}{2}a

So:

\frac{c}{a} = \frac{3}{2} = 1.5

Convert to percent:

1.5 	imes 100\% = 150\%

Answer: 150%

If a = (2/7)b and b = (7/3)c, then what percent of a is c?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If a = (2/7)b and b = (7/3)c, then what percent of a is c?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards