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Question

The prices (in Rs) of different yarns (per kg) in two consecutive years are as follows.

Commodity

 Silk 

 Cotton 

 Jute 

 Rayon 

 Price(in 2016)

 600 

 700

 400

 300

 Price (in 2017)

 700 

 600

 480

 270

By simple aggregative method, the net price changes in % is:

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

net increase of 2.5% in price.

By the simple aggregative method, percentage change = (Σp₁ − Σp₀)/Σp₀ × 100.

Step 1 — Sum of 2016 prices: \(600+700+400+300=2000\).

Step 2 — Sum of 2017 prices: \(700+600+480+270=2050\).

Step 3 — Percentage change:

\[\frac{2050-2000}{2000}\times 100 = \frac{50}{2000}\times 100 = 2.5\%\]

Since the change is positive, it is a net increase of 2.5%.

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