Math, asked by mukeshyd, 8 months ago


Outofa total amount of Rs 4,898, B receives 20% more than
A and 25% more than C. What is B's share?
(a) Rs 930" ;
(b) Rs 1,860
(c) Rs 1,400: (d) Rs 1,540

Answers

Answered by AyushSehrawat
6

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Answered by marishthangaraj
2

Given:

Out of a total amount of Rs 4,898,

B receives 20% more than A and 25% more than C.

To find:

The Share amount of B

Solution:

Step 1 of 2:

The total amount is Rs 4,898

A + B + C = 4,898

B receives 20% more than A

B = A + 20% of A

B = A + \frac{20}{100} A

B = A + 0.2A

B = 1.2A

A = \frac{B}{1.2}

B receives 20% more than C

B = C + 25% of C

B = C + \frac{25}{100} C

B = C + 0.25C

B = 1.25C

C = \frac{B}{1.25}

Step 2 of 2:

A + B + C = 4,898

\frac{B}{1.2} + B +  \frac{B}{1.25} = 4,898

\frac{B + 1.2B}{1.2} +  \frac{B}{1.25} = 4,898

\frac{2.2B}{1.2} +  \frac{B}{1.25} = 4,898

\frac{2.75B +1.2B}{1.5} = 4,898

3.95B = 1.5 × 4,898

3.95B = 7,347

B = \frac{7347}{3.95}

B = 1,860

B received an amount of Rs 1,860

Final answer:

The Share amount of B is Rs 1,860

Thus, the correct option is (b) Rs 1,860

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