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If a number P is 15% less than another number Q, and Q is 12% more than 156, then what is the value of P?
Question

If a number P is 15% less than another number Q, and Q is 12% more than 156, then what is the value of P?

A.

168.52    

B.

138.52

C.

148.51

D.

178.52

Correct option is C

Given:

P is 15% less than Q

Q is 12% more than 156

Solution

If Q is 12 % more than 156

Then Q = 156(100+12100)=174.72156\left(\frac{100+12}{100}\right)= 174.72​​

Now P is 15%  less than Q

P =174.72(10015100)=148.51 174.72\left(\frac{100-15}{100}\right) = 148.51​​

Alternative Method:

P=156×(112100)×(85100)=148.51P = 156\times \left(\frac{112}{100}\right)\times \left(\frac{85}{100}\right) = 148.51​​

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