Rahul borrowed a sum of Rs. 1150 from Amit at the simple interest rate of 6 p.c.p.a. for 3 Years. He then added some more money to the borrowed sum and lent it to Sachin for the same time at 9 p.c.p.a simple interest. If Rahul gains Rs. 274.95 by way of interest on borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Sachin ?
A. Rs. 1200
B. Rs. 1285
C. Rs. 1690
D. Rs. 1785
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the money added by Rahul be Rs. xThen,
$$ \Rightarrow \frac{{\left( {1150 + x} \right) \times 9 \times 3}}{{100}} - $$ $$\frac{{1150 \times 6 \times 3}}{{100}} = $$ $$274.95$$
⇒ 1150 × 27 + 27x - 1150 × 18 = 27495
⇒ 27x + 1150 × (27 - 18) = 27495
⇒ 27x = 27495 - 10350
⇒ 27x = 17145
⇒ x = 635
So, sum lent by Rahul to Sachin
= Rs. ( 1150 + 635 )
= Rs. 1785
Related Questions on Interest
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E. Rs. 1240
Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
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Rs. 2100 is lent at compound interest of 5% per annum for 2 years. Find the amount after two years.
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