A man borrows $ 1,000 and agrees to repay with a total interest of $ 140 in 12 instalments, each instalment being less than the preceding by $ 10. What should be his first instalment ?

A man starts repaying a loan as first instalment of Rs. 100. If he increases the instalment by Rs 5 every month, what amount he will pay in the 30th instalment?

Nisha buys an old car for $44,000. She pays $16,000 cash and promises to pay the balance in 28 annual instalments of $ 1000 each along with interest due on unpaid. If the interest is charged at 10%, what will the car cost her ?

Shamshad Ali buys a scooterfor Rs 22000. He pays Rs 4000 cash and agreesto pay the balance in annual instalment of Rs 1 000 plus 10% interest on the unpaid amount. How much will the scooter cost him?

A contractor plants to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30^@ to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m, and inclined at an angle of 60^@ to the ground. What should be the length of the slide in each case ?

Juhi wants to buy a bicycle. She goes to the market and finds that the bicycle she likes is available for ₹1800. Juhi has ₹ 600 with her. So, she tells the shopkeeper that she would not be able to buy it. The shopkeeper, after a bit of calculation, makes the following offer. He tells Juhi that she could take the bicycle by making a payment of ₹600 cash down and the remaining money could be made in two monthly instalments of ₹610 each. Juhi has two options one is to go for instalment scheme or to make cash payment by taking loan from a bank which is available at the rale of 10% per annum simple interest. Which option is more economical to her?

A man saves ₹ 200 in each of the first three months of his servies.In each of the subsequent monts his saving increases by ₹ 40 more than the saving of immediately previous month.His total saving from the start of service will be ₹ 11040 after .

A cooperative society of farmers has 50 hectare of land to grow two crops X and Y. The profit from crops X and Y per hectare are estimated as Rs 10,500 and Rs 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops X and Y at rates of 20 litres and 10 litres per hectare. Further, no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximise the total profit of the society?