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Mathematics

In an industrial area, the price of a plot of area 1 acre is ₹ 5 crores. If the price of land increases by 2% quarterly, then what will be the price of the plot after 1 year?

  1. 5×(1+2100)45 \times \Big(1 + \dfrac{2}{100}\Big)^4 crores

  2. 5×(1+8100)45 \times \Big(1 + \dfrac{8}{100}\Big)^4 crores

  3. 5×(1+2100)5 \times \Big(1 + \dfrac{2}{100}\Big) crores

  4. 5×(1+8100)5 \times \Big(1 + \dfrac{8}{100}\Big) crores

Compound Interest

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Answer

Given,

V = ₹ 5 crores

R = 2%

Price of land increases by 2% quarterly.

n = There are 4 Quarters in a year = 4

By Formula,

Value after n years = V×(1+R100)nV \times \Big(1 + \dfrac{R}{100}\Big)^n

By substituting values,

Value after 1 year=5×(1+2100)4\text{Value after 1 year}= 5 \times \Big(1 + \dfrac{2}{100}\Big)^4 crores.

Hence, Option 1 is correct option.

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