Subject

    Quantitative Aptitude

    Topic

    Percentage

    Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?

    ক)
    Rs. 1,24,000
    খ)
    Rs. 1,44,000
    গ)
    Rs. 1,32,000
    ঘ)
    Rs. 1,62,000

    Explanation

    Value of Maruti Van, V1 = Rs. 1,96,000 Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years Let V2 is the value after depreciation. V2  =  V1(1  −  (r100))tV2\;=\;V1\left(1\;-\;\left(\frac{\mathrm r}{100}\right)\right)^\mathrm t V2 = 19600[1  −  (1007100)]219600\left[1\;-\;\left(\frac{\displaystyle\frac{100}7}{100}\right)\right]^2 V2 = 196000(6/7)(6/7) V2 = (196000x36)/49 = Rs. 1,44,000.

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