Ratio Problem

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Ratio Problem

by sayanpaul » Sat Jun 01, 2013 2:46 am
An amount of money is to be divided among P,Q and R in the ratio of 3:5:7 respectively. If the amount received by R is Rs.4000 more than the amount received by Q, what will be the total amount received by P and Q together?

A. Rs 8000
B. Rs 12000
C. Rs 16000
D. Rs 20000
E. none of the above
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by GMATGuruNY » Sat Jun 01, 2013 3:10 am
sayanpaul wrote:An amount of money is to be divided among P,Q and R in the ratio of 3:5:7 respectively. If the amount received by R is Rs.4000 more than the amount received by Q, what will be the total amount received by P and Q together?

A. Rs 8000
B. Rs 12000
C. Rs 16000
D. Rs 20000
E. none of the above
Multiply by the entire ratio P:Q:R = 3:5:7 by increasing factors until the difference between Q and R is 4000:
P:Q:R = 3:5:7 = 3000:5000:7000 = 6000:10000:14000.
If P=6000, Q=10,000, and R=14,000, then P:Q:R = 3:5:7 and Q-R = 14,000-10,000 = 4,000.
Thus:
P+Q = 6000+10,000 = 16,000.

The correct answer is C.
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by sayanpaul » Sat Jun 01, 2013 3:41 am
thank u sir for a simpler solution

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by bubbliiiiiiii » Sat Jun 01, 2013 10:25 am
I resolved it the following way:

Difference between ration of Q and R is 2 and difference between there amounts is equal to 4000.

Thus, each point in ratio represents 2000.

Since combined points of P and Q are 8, multiplying it by 2000 results in 16000.

Is this approach correct?
Regards,

Pranay