All questions of Quantitative Aptitude Tests for Bank Exams Exam

The given information can be summarized as follows:

- Article P is sold at a 35% profit.
- Article Q is sold at a 20% profit.
- The MRP (Maximum Retail Price) of P is 92% more than that of Q.
- The selling price of Q is 58.33% less than that of P.
- Article P is sold after a discount of (M).

Let's use variables to represent the unknowns:
- Cost price of Article P = CP_P
- Cost price of Article Q = CP_Q
- Selling price of Article P = SP_P
- Selling price of Article Q = SP_Q
- MRP of Article P = MRP_P
- MRP of Article Q = MRP_Q

Now, let's solve the questions:

1. What is the profit percentage of Article P?

Profit percentage = ((Selling price - Cost price) / Cost price) * 100

Given that Article P is sold at a 35% profit, we can write:

Profit percentage of P = 35%

2. What is the profit percentage of Article Q?

Profit percentage = ((Selling price - Cost price) / Cost price) * 100

Given that Article Q is sold at a 20% profit, we can write:

Profit percentage of Q = 20%

3. What is the relationship between the MRP of P and Q?

Given that the MRP of P is 92% more than that of Q, we can write:

MRP_P = MRP_Q + (92% of MRP_Q)
MRP_P = MRP_Q + 0.92 * MRP_Q
MRP_P = 1.92 * MRP_Q

So, the MRP of P is 1.92 times the MRP of Q.

4. What is the relationship between the selling price of P and Q?

Given that the selling price of Q is 58.33% less than that of P, we can write:

SP_Q = SP_P - (58.33% of SP_P)
SP_Q = SP_P - 0.5833 * SP_P
SP_Q = 0.4167 * SP_P

So, the selling price of Q is 0.4167 times the selling price of P.

5. What is the discount on Article P?

Given that Article P is sold after a discount of (M), we can write:

Discount on P = M

So, the discount on Article P is (M).

Please note that the question was cut off, and the information about the discount on Article P was incomplete. Therefore, we cannot provide an exact value for the discount.

The initial investment of P is 66.66% of that of Q, which means it is 2/3 of Q's initial investment.
If Q's initial investment is Rs. 12000, then P's initial investment is (2/3) * 12000 = Rs. 8000.

The initial investment of R is 275% more than that of P, which means it is 375% of P's initial investment.
So, R's initial investment is (375/100) * 8000 = Rs. 30000.

After 8 months, P invested 50% more to his investment, which means he invested an additional (50/100) * 8000 = Rs. 4000.
So, P's total investment after 8 months is 8000 + 4000 = Rs. 12000.

Similarly, Q invested 66.66% more to his investment, which means he invested an additional (66.66/100) * 12000 = Rs. 8000.
So, Q's total investment after 8 months is 12000 + 8000 = Rs. 20000.

At the end of the year, R joined them, so the total investment is P's total investment + Q's total investment + R's initial investment = 12000 + 20000 + 30000 = Rs. 62000.

The profit share of P is (12000/62000) * 170000 = Rs. 32838.71 (approx.)
The profit share of Q is (20000/62000) * 170000 = Rs. 54838.71 (approx.)
The profit share of R is (30000/62000) * 170000 = Rs. 82338.71 (approx.)

The difference between the profit share of P and Q is 54838.71 - 32838.71 = Rs. 22000.
The difference between the profit share of Q and R is 82338.71 - 54838.71 = Rs. 27500.

Therefore, the correct option is:
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