A bank offers $5\%$ compound interest calculated on half – yearly basis. A customer deposits ₹ 1600 each on 1^st January and 1^st July of a year. At the end of the year, the amount received by the customer as interest will be:

Find the simple interest on Rs. 3600 at 4% p.a. for 2 years.

A bank offers 20% compound interest calculated on quarterly-yearly basis. A customer deposits Rs.3500 each on 1st April and increased his deposit by Rs 1500 every quarter. Find the sum withdrawn by the customer on 31th December of the same year. 

The monthly income of A and B are in ratio 5:8. The ratio of their expenditure is 2:3 and their combined saving is Rs 5000 per month. If the income of A and B is increased by 20% and 25% respectively and their spending remains unchanged, then their combined saving increased by 60%. Find the ratio of their new income to that of their new saving. 

In a bag, there are three types of coins 1 rupee, 50 paisa and 25 paisa in the ratio 3:8:20. The total value in bag is Rs372. Find the total number of coins in the bag.

Gaurav and Naresh  invested a sum of ₹800 and ₹600 respectively and decided to withdraw their money when they got equal amount .Gaurav earned a profit of 6%, and Naresh earned a profit of 10% on his investment respectively. Find the time period after which they can withdraw their money, provided Simple interest was earned on their money.

A person borrowed Rs. 12000 at certain rate of simple interest and Rs. 13500 at 1% higher rate of interest. If after 4 years the total interest paid by him is Rs. 4620. Find the rate of interest at which he borrowed Rs 12000 

A bag has Rs 105 in the denomination of Rs 2 and Re 1 such that the ratio of money from Rs 2 and Re 1 is in the ratio 8:7. A man withdrew Rs 28 of the bag such that equal amount of money from each denomination was taken out and replaced with 5 one rupee coin. Find the ratio of Rs 2 and Re 1 coin finally in the bag.

What is the interest if Rs. 30,000 was invested for 1 year at 40% p.a. compounded quarterly?

Rahul lent a sum of Rs. 8000 at 6% p.a. to Rajat and Rs. 9600 at 7% p.a. to Ravi. In what time would the total interest be Rs. 2880?

Ram and Shyam deposited Rs. 6400 for $2\frac{1}{2}$ years in different banks. If the difference between the simple interest they both received is Rs. 56, then what is difference between their rates of interest?

4 persons went to purchase pens in ratio 1/3:1/4:1/5:1/6from a stationary shop. The shopkeeper decided to give one pen free on purchase of every two pens per person. If the cost of a pen was Rs 7; then find a minimum amount that was earned by the shopkeeper. [For example, if a person wants to buy 4 pens then his purchase will be (2 pens + 1 pen free) + 1 pen i.e for 4 pens he will pay for 3 pens only].

If $(a^3+b^3):(a^2-ab+b^2)=5:2$ and$(a^2-b^2):(a+b)=7:4$.Find a:b

Mr Rajveer purchased a unique diamond called "Zoinoor", which was very expensive and the cost of the diamond is proportional to square of its weight. But he accidently broke the diamond and it was split into three pieces which were in ratio of 3:2:1 by weight. If he incurred a total loss of Rs 46200 due to the accident, find the initial cost of diamond.

A, B, C and D invested Rs.5000, Rs.4500, Rs.4000 and 8000 in a business. After one year, A withdraws his entire amount, B withdraws his entire amount after 2 years, C withdraws his money after 3 years and in the end of 4^th year D also withdraws his sum of money from the business. If they earned Rs.21500 in the end of 4^th year, find A's share in the profit?