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 $y?$
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
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Correct Answer: 4
Solution : Given: A certain amount is lent at $x$% p.a. simple interest for 3 years. Simple interest $=\frac{\text{Principal × Rate × Time}}{100}$ Simple interest for 3 years $=\frac{100\times x\times 3}{100} = 3x$ Then, simple interest for $y$ more years is given as, $\frac{100\times3x\times (3+y)}{100} = 7×3x$ ⇒ $9x + 3xy = 21x$ ⇒ $3xy = 12x$ ⇒ $y = 4$ Hence, the correct answer is $4$.
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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.
Option 1: 4% p.a.
Option 2: 2% p.a.
Option 3: 5% p.a.
Option 4: 3% p.a.
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.).
Option 1: 38,000
Option 2: 37,500
Option 3: 37,000
Option 4: 38,500
Question : A person lent a certain sum of money at the annual rate of 25 percent on simple interest. In 6 years the interest amounted to Rs. 360 more than the sum lent. What is the sum lent?
Option 1: Rs. 600
Option 2: Rs. 360
Option 3: Rs. 720
Option 4: Rs. 540
Question : The time required for a sum of money to amount to three times itself at 8% simple interest p.a. will be:
Option 1: 35 years
Option 2: 25 years
Option 3: 30 years
Option 4: 20 years
Question : If the amount obtained by A by investing INR 9,100 for three years at a rate of 10% p.a. on simple interest is equal to the amount obtained by B by investing a certain sum of money for five years at a rate of 8% p.a. on simple interest, then 90% of the sum invested by B (in INR) is:
Option 1: 8,450
Option 2: 7,800
Option 3: 8,540
Option 4: 7,605
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