Question : P is 20% more than Q and 40% less than R. If the value of Q is Rs. 150, then what is the value of R (in Rs.)?
Option 1: 300
Option 2: 320
Option 3: 220
Option 4: 250
Correct Answer: 300
Solution : The ratio of P and Q = 120 : 100 = 6 : 5 And, the ratio of P and R = 60 : 100 = 6 : 10 Now, the ratio of P, Q, and R = 6 : 5 : 10 The value of Q = Rs. 150 So, The value of R = $\frac{150}{5}\times 10 = 300$ Hence, the correct answer is 300.
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Question : X is 30% more than Y and 25% less than Z. If the value of Y is Rs. 300, then what is the value (in Rs.) of Z?
Option 1: 390
Option 2: 400
Option 3: 470
Option 4: 520
Question : A trader sold an article at a gain of 20%. Had he purchased it for 40% more and sold it for Rs. 24 less, he would have incurred a loss of 20%. What is the cost price (in Rs.) of the article?
Option 1: Rs. 150
Option 2: Rs. 300
Option 3: Rs. 450
Option 4: Rs. 600
Question : An item is offered for sale at Rs. 250, less by successive discounts of 20% and 15%. The sale price of the item is:
Option 1: 82% of Rs. 250
Option 2: 77% of Rs. 250
Option 3: 68% of Rs. 250
Option 4: 65% of Rs. 250
Question : If 50% of (P – Q) = 30% of (P + Q) and Q = $x$% of P, then the value of $x$ is:
Option 1: 30
Option 2: 25
Option 3: 20
Option 4: 50
Question : If $r$ = 55, then the value of $r(r^2+3 r+3)$ is:
Option 1: 105000
Option 2: 176615
Option 3: 175616
Option 4: 175615
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