16.5%of 4800= ¾ of x, then x is equal to

Work it in two steps. 16.5% of 4800 is 0.165 × 4800 = 792. The question says this equals three-fourths of x, so (3/4)x = 792, which gives x = 792 × 4/3 = 1056. The answer is B.

A faster route: 16.5% = 33/200, so 4800 × 33/200 = 24 × 33 = 792. Then 792 ÷ 3 = 264, and 264 × 4 = 1056.

• A) 1156 is 100 more than the correct value, typical of a slip while dividing by 3 or multiplying by 4.
• C) 1456 and D) 956 come from careless percentage arithmetic. Neither matches 792 × 4/3.

Core concept: converting a percentage to a fraction and solving a linear equation. Simplifying 16.5% to 33/200 before multiplying saves time, and this kind of quick arithmetic is useful in the CSAT section and in data interpretation.

Trap: aspirants multiply 792 by 3/4 (getting 594) instead of dividing by 3/4, which reverses the operation.