CAT Exam Numerical Ability Percentage

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs. 1, 46,205 then find the value of machine at the start of the first year.

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CAT Other Question

Bill Ambani, a very clever businessman, started off a business with very little capital. In the first year, he earned a profit of 50% and donated 50% of the total capital to a charitable organisation. The same course was followed in the 2nd and 3rd years also. If at the end of three years, he is left with Rs. 16875, then find the amount donated by him at the end of the 2nd year. price of a soap is collectively decided by 5 factors : research, raw materials, labour, ad and transport. assume functional relation is
price of soap = (k x research costs x raw material costs x labour costs x ad costs x transport costs)
if there are resp changes of 10% 20% - 20% 25 % and 50 %, find the change in price of soap