Comparing Quant...

The profit after selling a pair of trousers for Rs. $$863$$ is the same as the loss incurred after selling the same pair of trousers for Rs. $$631$$. What is the cost price of the pair of trousers?

Mrs. Sharma purchased confectionery goods costing Rs. $$165$$ on which the rate of Sales Tax is $$6\%$$ and some tooth-paste, shaving-cream, soap, etc., costing Rs. $$230$$ on which the rate of Sales Tax is $$10\%$$. If she gives a five-hundred rupee note to the shopkeeper, what money will he return to Mrs. Sharma ?

If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?

The rate of depreciation

Lucy invested $$10,000$$ in a new mutual fund account exactly three years ago. The value of the account increased by $$10$$ percent during the first year,increased by $$5$$ percent during the second year, and decreased by $$10$$ percent during the third year. What is the value of the account today? 

In a city $$20 \%$$ of the total population is student community which is not employed , if the number of students who are unemployed is $$14000$$, then find the population of the city ?

A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?

Naman purchased an old bike for Rs. $$20000$$. If the cost of his bike is depreciated at a rate of $$5\%$$ per annum, then find the cost of the bike after $$2$$ years?

Two merchants sell, each an article for Rs. $$1000$$. If merchant $$A$$ computes his profit on cost price, while merchant $$B$$ computes his profit on selling price, they end up making profits of $$25\%$$. By how much is the profit made by Merchant $$B$$ greater than that of Merchant $$A$$?

Sahil purchased a machine at Rs. $$10000$$, then got it repaired at Rs. $$5000$$ and gave its transportation charge Rs. $$1000$$. Then he sold it with $$50\%$$ of profit. At what price he actually sold it?