The GATE Grind

GATE 2022 MN – Question 29

Mineral Economics, Mine Planning, Systems Engineering · Mineral Economics · 1 mark · Numerical answer

A screw compressor costs ₹21, 00, 000 and has 15-year life. Under sum-of-years-digits depreciation, the fourth-year charge is ₹2, 00, 000. Find salvage value in rupees, to one decimal.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 100000.0 to 100000.0

Explanation

The sum of year digits is 15×16/2=120. The fourth-year multiplier is (15−4+1)/120=12/120=0.1. If salvage is S, 0.1(2100000−S)=200000. Thus depreciable value is ₹2000000 and S=₹100000.0. The charge is for year four, not the cumulative four-year depreciation.

More Mineral Economics questions

All Mineral Economics questions →