The sum of the MRP of articles A and B is Rs. 11500. Article B is marked 45% above its cost price and while selling ‘y’ % discount is given on it. The ratio between the cost price and selling price of article A is 15:17 respectively. The cost price of article B is Rs. 500 less than the cost price of article A. If the profit on article A while selling is Rs. 600, then find out the difference between the MRP of article A and the selling price of article B.

Solution

The ratio between the cost price and selling price of article A is 15:17 respectively.

Let’s assume the cost price and selling price of article A is ‘15z‘ and ‘17z‘ respectively.

If the profit on article A while selling is Rs. 600.

selling price of article A - cost price of article A = profit on article A

17z-15z = 600

2z = 600

z = 300

cost price of article A = 15z

= 15x300

= Rs. 4500

The cost price of article B is Rs. 500 less than the cost price of article A.

cost price of article B = Rs. 4500 - Rs. 500

= Rs. 4000

Article B is marked 45% above its cost price and while selling ‘y’ % discount is given on it.

MRP of Article B = Rs. 4000 of (100+45)%

= Rs. 4000 of 145%

= Rs. 5800

The sum of the MRP of articles A and B is Rs. 11500.

MRP of Article A = Rs. 11500 - Rs. 5800

= Rs. 5700

For getting the required difference, we need the selling price of article B. But as per the given information in the question, we cannot determine the selling price of article B. Hence the answer cannot be determined.