A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :

In a 200 meter race, Ram beats Shyam by 35 meter or 7 seconds. What is Ram’s time over the course?

A, B, C and D purchase a gift worth Rs. 60. A pays $${1\over2} $$ of what others are paying. B pays $${1\over 3} $$ of  what others are paying and C  pays $${1\over 4} $$ of what others are  paying. What is the amount paid by D?

The price of a shirt is Rs 260 but the shopkeeper successively discount 15% & 20%. The net sales price is subject to a sales tax of 5%. What does the buyer pay ?

A trader had 2000 kgs of rice. He sold a part of it at 10 % profit and the rest at 16 % profit so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10 % profit? 

In what proportion must a grocer mix sugar at Rs. 12 a kg and Rs. 7 a   kg Sugar as to make a mixture worth Rs 8. a kg?

A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being obstructions, only 7/8 of full quantity water flows through the former and only 5/6 through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 minutes from that moment. How long was it obstructions before the full flow began?