Question : A sum of Rs. 5,000 is divided into two parts such that the simple interest on the first part for $4 \frac{1}{5}$ years at $6 \frac{2}{3} \%$ p.a. is double the simple interest on the second part for $2 \frac{3}{4}$ years at 4% p.a. The ratio of the second part to the first part is:
Option 1: 11:14
Option 2: 11 : 13
Option 3: 14 : 11
Option 4: 13 : 11
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 14 : 11
Solution : Let the first part of the sum as $x$ and the second part as $5000 - x$. Given that the simple interest on the first part is double the simple interest on the second part. $x \times \frac{21}{5} \times \frac{20}{3} \% = 2 \times (5000 - x) \times \frac{11}{4} \times 4 \%$ $⇒x \times \frac{7}{5} \times \frac{1}{15} = (5000 - x) \times 11 \times \frac{1}{50}$ $⇒14x= 55000 - 11x$ $⇒x = 2200$ The second part of the sum = 5000 – 2200 = 2800 So, the ratio of the second part to the first part = 2800 : 2200 = 14 : 11 Hence, the correct answer is 14 : 11.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A sum of INR 50,250 is divided into two parts such that the simple interest on the first part for $7 \frac{1}{2}$ years at $8 \frac{1}{3} \%$ p.a. is $\frac{5}{2}$ times the simple interest on the second part for $5 \frac{1}{4}$ years at $8 \%$ p.a. What is the difference (in
Question : Money was lent on simple interest. After 12 years, its simple interest becomes $\frac{3}{5}$ of the money. Find the rate of interest.
Question : The simple interest on an amount for 6 years at 4% p.a. is 7,500 less than the simple interest on the same amount for 11 years. Find the amount (in Rs.).
Question : A certain amount is lent at $x$% p.a. simple interest for 3 years. Instead, if the amount was lent at $3x$% p.a. simple interest for $y$ more years, the simple interest would have been seven times the earlier interest. What is the value of $y?$
Question : The interest earned on INR 21,000 in 3 years at Simple Interest is INR 6,400. What is the rate of interest per annum?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile