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Question

Quantitative Aptitude Question on Ratio and Proportion

A sum of money is divided among A, B, and C in the ratio 3:5:7 respectively. If B gets Rs. 300 more than A, then the total amount of money is:

A

Rs. 1500

B

Rs. 2250

C

Rs. 4550

D

Rs. 6550

Answer

Rs. 2250

Explanation

Solution

Let the total amount of money be x.

Then, A gets 3x15\frac{3x}{15} of the total amount.

B gets 5x15\frac{5x}{15} of the total amount.

C gets 7x15\frac{7x}{15} of the total amount.

Given, B gets Rs. 300 more than A.

So, 5x153x15=300\frac{5x}{15} - \frac{3x}{15} = 300

=> 2x15=300\frac{2x}{15} = 300

=> x=300×(152)=2250x = 300 \times \left(\frac{15}{2}\right) = 2250