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Previous Year Questions

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Question :

In each of the question below, a question is given with four or more values marked in bold as A, B, C and so on. Positions of one or more pairs in bold are to be interchanged by choosing the correct option such that the question becomes correct (solution/calculation wise).

Cost price of an article is (A) Rs.4000 and it marked up by (B) 20 % and sold after allowing two successive discounts of (C) Rs.440 and (D) 40% respectively, the difference between cost price and selling price of the article is Rs. (E) 50.

1. Only B-E

2. Only C-E

3. Only B-D

4. Both C-E and B-D

5. Both B-E and B-D

Correct Answer : 4
Solution :

After interchanging B and E:

CP = Rs.4000

MP = 150% of 4000 = Rs.6000

SP after two successive discounts = 60% of (6000 - 440) = Rs.3360

Difference between CP and SP = 4000 - 3360 = Rs.664

Hence, B and E would not be changed.

After interchanging C and E:

CP = Rs.4000

MP = 120% of 4000 = Rs.4800

SP after two successive discounts = 60% of (4800 - 50) = Rs.2850

Difference between CP and SP = 4000 - 2850 = Rs.1150

Hence, C and E would not be changed.

After interchanging B and D:

CP = Rs.4000

MP = 140% of 4000 = Rs.5600

SP after two successive discounts = 80% of (5600 - 440) = Rs.4128

Difference between CP and SP = 4128 - 4000 = Rs.128

Hence, C and E would not be changed.

After interchanging both C-E and B-D:

CP = Rs.4000

MP = 140% of 4000 = Rs.5600

SP after two successive discounts = 80% of (5600 - 50) = Rs.4440

Difference between CP and SP = 4440 - 4000 = Rs.440

Hence, both C-E and B-D together would be changed.

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