a sum of rs 2600 is lent out in two parts..., Simple Interest, General Mathematics

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Question:A sum of Rs.  $2600$  is lent out in two parts in such a way that the interest on one part at  $10%$  for  $5$  years is equal to that on another part at  $9%$ for  $6$  years. The sum lent out at  $10%$  is :

A  $Rs. 1150$  
B  $Rs. 1250$  
C  $Rs. 1350$  
D  $Rs. 1450$

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+ AnswerC

+ ExplanationLet the sum at  $10%$  be Rs.x. Then,

 $(x xx 10 xx 5)/100$ 

 $= (2600 -x) xx 9 6)/100$ 

 $or 10x = 2600 xx 54$ 

 $or x = 1350$ .

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Question:A sum of Rs. 26002600 is lent out in two parts in such a way that the interest on one part at 10%10% for 55 years is equal to that on another part at 9%9%for 66 years. The sum lent out at 10%10% is :

A Rs.1150Rs. 1150

B Rs.1250Rs. 1250

C Rs.1350Rs. 1350

D Rs.1450Rs. 1450

C

Question:A sum of Rs. $2600$ is lent out in two parts in such a way that the interest on one part at $10%$ for $5$ years is equal to that on another part at $9%$ for $6$ years. The sum lent out at $10%$ is :

A $Rs. 1150$

B $Rs. 1250$

C $Rs. 1350$

D $Rs. 1450$