Question
How many numbers between 200 and 1000 are divisible by both
20 and 30?Solution
ATQ,
A number divisible by both 20 and 30 must be divisible by L.C.M. of 20 and 30 = 60
We look for numbers divisible by 60 in the given range:
First term (a) = 60 × 4 = 240
Common difference (d) = 60
Last term (L) = 60 × 16 = 960
Let the number of terms be n.
Use the A.P. formula:
a + (n - 1)d = L
Substitute values:
240 + (n - 1) × 60 = 960
⇒ 240 + 60n - 60 = 960
⇒ 60n = 780
⇒ n = 780 ÷ 60 = 13
A total amount is divided among A, B, and C in the ratio 7:6:5 respectively. The amount received by C is Rs. 330 less than the average of amounts receiv...
What would be the annual interest accrued on a deposit of Rs.24,550 in a bank that pays a 22% per annum rate of simple interest?
A man deposited 25% of his salary to a bank which offers compound interest at the rate of 10% p.a. If the interest earned by him from the bank after 2 y...
A certain sum when invested for 3 years in a scheme offering simple interest of 12% p.a. gives an interest of Rs. 918. What is 122% of the sum invested?
Calculate the compound interest earned by depositing Rs. 8,000 at an annual interest rate of 40%, compounded quarterly, for 9 months.
A certain sum of money becomes 4000 in 6 years and Rs. 5000 in 10 years at any certain rate of simple interest. Find the principal amount.
Ankit placed some money in a fixed deposit that provides a compound interest rate of 16% per annum, compounded yearly. At the end of two years, he recei...
Neil buys a Camera priced at 32000. He pays 8000 at once and the rest after 15 months on which he is charges a simple Interest at the rate of 18% per an...
Rs.9000 is divided into two parts such that if one part be invested at 5% and the other at 7%, the annual interest from both the investments is Rs. 580....
What will be the compound interest earned on an investment of Rs. 20,000 over a period of 3 years at an annual interest rate of 12%, compounded yearly?
