SSC CGL 2017 PYQ — Question 58

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q58

The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is (Use π = 22/7)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. Rs. 528

Understanding

Application

The cost of levelling a circular field at 50 Paise per square metre is Rs 7700.

We know:

Area of circle = πr2

So,

(Area of circular field) × (Cost per square metre) = 7700

22/7 × r2 × 0.5 = 7700

⇒ r2 = 4900

⇒ r = 70

Perimeter of circle = 2πr

So,

Cost of fencing all around the field

= 2 × 22/7 × 70 × 1.2

= Rs. 528