Question
Divide Rs 2,760 in to two parts such that when these are
invested for 2 and 4 years, respectively, at the rate of 5% per annum simple interest, the amounts received are equal. What is the second part (in Rs) invested?Solution
Let for the 1st part it is Rs. x So, 2nd part = Rs. (2760 - x) According to the question, x + [(x × 2 × 5)/100] = (2760 - x) + [{(2760 - x) × 4 × 5}/100] ⇒ (100x + 10x)/100 = (276000 - 100x + 55200 - 20x)/100 ⇒ 110x = 331200 - 120x ⇒ 230x = 331200 ⇒ x = 331200/230 ⇒ x = 1440 So, 1st part = Rs. 1440 So, 2nd part = 2760 - 1440 ⇒ Rs. 1320 ∴ The second part (in Rs.) invested is 1320.
- Ramesh invested Rs. 8,000 in scheme ‘X’ offering simple interest of 15% p.a. After 3 years, he reinvested the total interest earned from scheme ‘X’...
A man borrowed Rs 300 and promised to pay back in 11 equal instalments of Rs 30 each. Find the rate of simple interest per annum?
Anil borrowed Rs.20000 on CI at the rate of 10% for three years. He paid at the end of first year (1/8)th of amount and end of second year (1/5)th of am...
An amount of Rs. (y-2800) was invested on simple interest at the rate of (R+1)% per annum for 6 years. An another amount of Rs. (y+3200) was invested on...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 2500 and Rs...
The profit earned when article is sold for Rs. 1280 is 23 times of the loss incurred when it is sold for Rs. 800.Find the CP?
Simple interest on a certain sum at the rate of (50/3)% per annum for three years is Rs. 1250. Find the sum.
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...
Shivam invested 24000 at 15% p.a. simple interest for ‘x’ months. If at the end of ‘x’ months, he received a total amount of Rs.26400. What is t...
Suresh earned an interest of Rs. 774 on principal amount of Rs. 2400 at some rate of compound interest in 2 years. How much more/less interest would he ...
Relevant for Exams:
