TANCET 2008 Quant - Word Problems, Equations

Algebra Question 15

A charity solicited P persons over the phone who agreed to an average pledge of Rs.R each. Q of these people who had pledged an average of Rs. S each never sent in the pledged amount. Which of the following expressions represents the percentage of pledged money that the charity received?

1. 
2. 
3. 100 (PR - QS)
4. 
5. 
   
   

Correct Answer : . Choice (4)

Explanatory Answer

Total amount solicited from P persons, each of whom agreed to pledge Rs.R = Rs.P*R

Of these Q did not send the pledged amount. Average value of amount not sent = Rs.S.
Hence, the total amount pledged but not received = Rs.Q*S

The charity therefore, received Rs.(PR - QS)
Expressing the amount received as a percentage of amount pledge, we get
Or, the expression can be rewritten as

Level of difficulty : Easy

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