À train consists of 12 bogies, each bogie is 15 m long. The train crosses a telegraph post in 18 s. Due to some problem, two bogies were detached. The train now cresses the telegraph post in 

A lent some money from B and paid 1,573 after$$ {1{1\over 2}}$$ yr . Also B lent some money from A and paid 1444.50 after 6 months. If they want to settle the account forthwith, keeping 14 % as the rate of interest, then who should pay whom and how much?

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m². 

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? 

The retail price of a water geyser is 1265. If the manufacturer gains 10 %, the wholesale dealer gains 15 % and the retailer gains 25 % , then the cost of the product is – 

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? 

A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is – 

Sita and Gita enter into a partnership, Sita contributes 5000 while Gita contributes 4000. After 1 month, Gita withdraws $$ {1\over4}$$ part of her contribution and after 3 months from the starting , Sita puts 2000 more . When Gita withdraws her money, Rita also joins them with 7000. If at the end of 1 year, there is a profit of 1218, what will be the share of Rita in the profit?