Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

A, B and C divide a certain sum of money among themselves. The average of the amounts with them is ₹4520. Share of A is $10 \frac{2}{3} \%$ more than share of B and $33 \frac{1}{3} \%$ less than share of C. What is the share of B (in ₹) ?

Options:

3500

5976

3600

3984

Correct Answer:

3600

Explanation:

Average of amount = $\frac{total\; sum}{3}$

⇒  $\frac{total\; sum}{3}$ = Rs 4520

⇒ Total sum = 4520 x 3 = Rs 13560

Share of A = 10$\frac{2}{3}$% more than that of B

                = 33$\frac{1}{3}$% less than that of C

10$\frac{2}{3}$% = $\frac{8}{75}$

33$\frac{1}{3}$% = $\frac{1}{3}$

Ratio of amount =   B  :  A   :   C

                            75  :  83 :  --

                             --  :   2  :  3

                          ______________

                       75 x 2 : 83 x 2 : 83 x 3 

B  :  A  :  C    = 150 : 166 : 249              

According to the question, 

Total sum = 565R = 13560

              ⇒    R  = 24

Share of B = 150 x 24 =  Rs 3600