Quantitative Aptitude > Interest
SIMPLE & COMPOUND INTEREST MCQs
Compound Interest, Simple Interest, Interest (combined)
Total Questions : 1171
| Page 10 of 118 pages
Question 91.
Sanjay borrowed a certain sum from Anil at a certain rate of simple interest for 2 years. He lent this sum to Ram at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 4200 as compound interest but paid Rs. 4000 only as simple interest. Find the rate of interest?
Answer: Option A. -> 10%
 - Suppose the sum borrowed = Rs x Rate of interest = R% Time = 2 years
 - Suppose the sum borrowed = Rs x Rate of interest = R% Time = 2 years
Answer: Option B. -> 12 years
 - P ( 1 + R ) 4 = 3P ( 1 + R ) 4 = 3 ...(i) 100 100 Let P ( 1 + R ) n 100 = 27P ( 1 + R ) n 100 = 27 = (3)3 = ( 1 + R ) 4 100 x3 [using (i)] ( 1 + R ) n 100 = ( 1 + R ) 12 100 n = 12 Required time = 12 years.
 - P ( 1 + R ) 4 = 3P ( 1 + R ) 4 = 3 ...(i) 100 100 Let P ( 1 + R ) n 100 = 27P ( 1 + R ) n 100 = 27 = (3)3 = ( 1 + R ) 4 100 x3 [using (i)] ( 1 + R ) n 100 = ( 1 + R ) 12 100 n = 12 Required time = 12 years.
Answer: Option C. -> Rs. 12720
Answer: Option A. -> Rs. 12000
Question 95. A sum of Rs. 18750 is left by a will by a father to be divided between the two sons, 12 and 14 years of age, so that when they attain maturity at 18, the amount (principal + interest) received by each at 5 percent simple interest will be the same. Find the sum alloted at present to each son.
Answer: Option C. -> Rs. 9000, Rs. 9750
Question 96. I had Rs. 10000 with me. Out of this money I lent some money to A for 2 years @ 15% simple interest. I lent the remaining money to B for an equal number of years @18% simple interest. After 2 years, I found that A had given me Rs. 360 more as interest as compared to B. The amount of money which I had lent to B must have been.
Answer: Option C. -> Rs. 4000
Answer: Option A. -> 2 years
Answer: Option A. -> Rs. 5000
Answer: Option D. -> $$11\frac{1}{9}$$ %
Answer: Option B. -> Rs. 62, 500; Rs. 37, 500