SSC CGL 2023 PYQ — Question 56

SSC CGL - 21 July 2023 - Shift 2 • Quantitative Aptitude • Q56

Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount (correct up to 2 decimal places) of:

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e. 57.81%.

Successive discount of 25%, 25%, 25%

100−100×100−25100×100−25100×100−25100100-100\times\frac{100-25}{100}\times\frac{100-25}{100}\times\frac{100-25}{100}

= 100−100×34×34×34100-100\times\frac{3}{4}\times\frac{3}{4}\times\frac{3}{4}

= 100 - 42.1875

= 57.8125 = 57.81%