Question
The average weight of five friends A, B, C, D and E is
(x+8) years while the average weight of C and E is (x-8) kg. If the weight of another person F is also added, then average weight of all of them is reduced by 7 kg. Find the value of ‘x’ if average weight of A, B, D and F is 92.5 kg.Solution
Total weight of friends A, B, C, D and E = 5(x+8) kg Total weight of friends C, and E = 2(x- 8) kg So, Total weight of A, B and D = 5(x+8) - 2(x-8) = (3x+56) kg Weight of F = [(x+8-7)×6] - [5(x+8)] => F = (x-34) kg According to the question, => (3x+56) + (x-34) = 92.5 × 4 => 4x + 22 = 370 => 4x = 348 => x = 87
Rs. 16000 invested for 2 years in a scheme offering compound interest (compounded annually) of 15% p.a. gives an interest that is Rs. 25 less than the i...
A farmer borrows ₹50,000 at a simple interest rate of 12% per annum. After how many years will the total interest amount to ₹30,000?
Amit invested Rs. 96,000 in two SIPs labeled 'P' and 'Q.' SIP 'P' offers an annual interest rate of (p - 3)%, and SIP 'Q' offers (p + 3)% interest, both...
If Rs. 25,000 is loaned at a compound interest rate of 50% per annum, and the interest is compounded once every year, what will t...
The interest earned when a sum is invested at simple interest of 20% p.a., for 3 years, is Rs. 3000. What will be the total amount received after 2 year...
What principal amount, when invested at an annual simple interest rate of 3.6% for 15 years, will generate an interest of Rs. 4,050?
Rs. 9000 is invested in scheme ‘A’ for 2 years and Rs. 7500 is invested in scheme ‘B’ for 2 years. Scheme ‘A’ offers simple interest of 10% ...
A certain sum of money invested at R% p.a. simple interest amounts to Rs. 17760 after 4 years and Rs. 22080 after 7 years. If the same sum of money is i...
A certain sum of money, when invested at a simple interest rate of 12% per annum, grows to Rs. 3,850 over a period of 54 months. What will be the inter...
Some amount out of Rs. 12000 was lent out at 10% per annum and the rest amount @ 16% per annum and thus in 5 years the total interest from both the amou...
Relevant for Exams:
