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1.

1). Only A2). Only B3). Only C4). Only D

Answer»

Cost price of the article is RS. 500.

Selling price = 500 × 1.2 = Rs. 600

Checking with the OPTIONS:

Option A:

CP = 500 – 200 = 300

SP = 600 – 180 = 420

∴ Profit = [420 – 300]/300 = 40%

It does not satisfy the blanks.

Option B:

CP = 500 – 100 = 400

SP = 600 – 112 = 488

∴ Profit = [488 – 400]/400 = 22%

It does not satisfy the blanks.

Option C:

CP = 500 – 150 = 350

SP = 600 – 145 = 455

∴ Profit = [455 – 350]/350 = 30%

It satisfies the blanks.

Option D:

CP = 500 – 50 = 450

SP = 600 – 20 = 580

∴ Profit = [580 – 450]/450 = 28.8%

It does not satisfy the blanks.

∴ Option C satisfies the blanks.
Discussion
2.

1). Only B2). Both B and C3). Both A and C4). Only D

Answer»

Cost price = 100

Marked price = 140

Checking with the options:

OPTION A:

If profit is 12%:

SP = 100 + 12 = 112

∴ Discount = (140 – 112)/140 = 20%

If profit is 4%:

SP = 100 + 4 = 104

∴ Discount = (140 – 104)/140 = 25.71%

It does not satisfy the blanks.

Option B:

If profit is 26%:

SP = 100 + 26 = 126

∴ Discount = (140 – 126)/140 = 10%

If profit is 12%:

SP = 100 + 12 = 112

∴ Discount = (140 – 112)/140 = 20%

It satisfies the blanks.

Option C:

If profit is 19%:

SP = 100 + 19 = 119

∴ Discount = (140 – 119)/140 = 15%

If profit is 10%:

SP = 100 + 10 = 110

∴ Discount = (140 – 110)/140 = 21.42%

It does not satisfy the blanks.

Option D:

If profit is 33%:

SP = 100 + 33 = 133

∴ Discount = (140 – 133)/140 = 5%

If profit is 26%:

SP = 100 + 26 = 126

∴ Discount = (140 – 126)/140 = 10%

It satisfies the blanks.

∴ Both options B and D satisfy the blanks.
Discussion