Question 61

P : Q = 4 : 5 and R is 15% less than Q. If Q = 300, then what is the sum of P and R?

Solution

R is 15% less than Q and Q = 300.

R = 300 of (100-15)%

R = 300 of 85%

$$R=300\times\frac{85}{100}$$

R = 255

P : Q = 4 : 5

$$\frac{P}{Q}\ =\ \frac{4}{5}$$

Put the value of 'Q' in the above equation.

$$\frac{P}{300}\ =\ \frac{4}{5}$$

$$\frac{P}{60}\ =\ \frac{4}{1}$$

P = 240

Sum of P and R = 240+255

= 495


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