A cow was sold at 8% profit. If it were bought at 20% less and sold at 40% profit, then the owner would gain ₹ 640 more. Find the initial cost price of the cow.

Find the minimum value of x which the expression  
x³-7x²+11x - 5 ≥ 0.

If p=99, then the value of p(p²+3p+3) will be

Three men Ashok, Bindusar and Chankya invested Rs. 11000, Rs. 12000 and Rs. 17000 in a partnership business for a year. After a year, they got a return of Rs. 100000. If they decide to divide the amount on the basis of their shares of investment, then what amount will Chankya receive more than Ashok?

A 240 meter long train crosses a 300 meter long platform in 27 seconds. What is the speed of the train in Kmph?

Study the information carefully to answer the question that follow.
In a college there are 900 students who are doing Post Graduation (PG) in any one of the subjects, out of five different subjects, out of the five different subjects viz. Zoology, Botany, Mathematics, Physics and Statistics. The ratio between the boys and the girls among those is 5:4 respectively, 20% of the total girls are doing PG in Zoology and 25% of the total girls are doing PG in Statistics. Total number of students doing PG in Botany is 220. Total students who are doing PG in Mathematics is 150. Respectively ratio between the number of girls and the number of boys doing PG in statistics is 2:3. Twenty percent of the total number of boys are doing PG in Mathematics is 1:2 respectively. There are equal number of boys and girls who are doing PG in PG in Physics. 180 students are doing PG in Zoology.
What is the respective ratio between the boys doing PG in Mathematics and the number of girls doing PG in Botany?

The reduction of Rs . 12 in the selling price of an article will changes 5 % gain into  $$ 2{1\over 2}\% $$ loss . The cost price of the article is