Which of the following statements are correct? Choose the correct answer from the options given below.

1.A single discount equivalent to successive discounts of 20%, 10% and 5% is 33%.

2.If an article is sold for Rs.209 after two successive discounts of 12% and 5%, then the original price is Rs.250.

3.If a shopkeeper gives two successive discounts of 5% on a marked price of Rs.80, the selling price is Rs.75.

4.The difference between a single discount of 35% and two successive discounts of 20% on a certain bill is Rs.22, so the total bill is Rs.2200.

A1, 2, 3 only

B1, 3 only

C2, 4 only ✓ Correct

D3, 4 only

Correct answer: (C) 2, 4 only

Explanation

Statements 2 and 4 are correct.

Statement 2: 209 / (0.88 x 0.95) = 209 / 0.836 = 250.

Statement 4: single 35% keeps 65%, two 20% keep 64%; the 1% gap = 22 gives a bill of 2200.

Statement 1 fails: 0.8 x 0.9 x 0.95 = 0.684, a 31.6% discount, not 33%.

Statement 3 fails: 80 x 0.95 x 0.95 = 72.2, not 75.

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