LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?
ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 5 × x = 5x Or, x × 5x = 4500 Or, 5x² = 4500 Or, x² = 900 Or, x = √900 = 30 LCM of two numbers = 30 × 5 = 150 Let two numbers be ‘30a’ and ‘30b’, where ‘a’ and ‘b’ are co-prime numbers. So, 30ab = 150 Or, a × b = 5 So, when a = 1 and b = 5, then difference will be maximum Desired difference = 30 × 5 – 30 × 1 = 120
The simple interest received on a certain sum is Rs. 400 less than the sum invested. If the sum was invested at 15% p.a. for 5 years, then find the simp...
A woman lent Rs. 29500 at 13% p.a. compound interest, compounded annually for two years. After two years, the total amount earned by the woman is again ...
'Amit' placed an investment of Rs. (x - 600) at a simple interest rate of 10% per annum for a duration of 4 years. On the other hand, 'Bheem' invested R...
A sum of money amounts to ₹13,200 after 3 years at a certain simple interest rate. If the principal was ₹10,000, what was the rate of interest per a...
A certain sum at certain rate % per annum simple interest becomes Rs 6300 in 2 years and Rs 6750 in 5 years. The principal and rate of interest are - ...
A certain sum of money invested at R% p.a. fetches a compound interest (compounded annually) of 1800 and simple interest of Rs.1600 at the end of 2 year...
A borrows Rs 7000 from B at 10% p.a compound interest compounded annually. At the end of every year he pays Rs 2200 and at the end of 3rd years he pays ...
A man invested Rs.Y in a scheme S at 14% rate of simple interest for 7 years. After 7 years, he reinvested the amount received from the scheme S at same...
Rs.7600 is divided into two parts such that if one part be invested at 4% and the other at 5%, the annual interest from both the investments is Rs. 336....
What will be the differnce between SI & CI on Rs. 5000 for 3 years at rate of 20% per annum ?
