Question

Divide 15600 into two parts such that the interest on one at 5% for 5 years may be equal to that on the other at four whole 1.2 % for 6 years

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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• Let the first part be x

• Then, second part = 15600 - x


=>>> Since, it is not specified, we will calculate the amount at simple interest.

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• For the first part,

Principal (P) = x

Time (T) = 5 years

Rate if interest (R) = 5% p.a.


• Then, simple interest (S.I)

= P × R × T /100

= x × 5 × 5/100

= 25x/100

= x/4

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• For the second part,

P = 15600 - x

R = 4 ½% p.a. = 9/2 p.a.

T = 6 years


• Then, S.I

= P × R × T/100

= [ (15600 - x) × (9/2) × 6 ]/100

= [ (15600 - x) × 9 × 6]/2 × 100

= 54(15600 - x)/200

= 27(15600 - x)/100

= 421200 - 27x/100

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• Now, SI on first part = SI on second part.

=> x/4 = 421200 - 27x/100


[] Cross multiplying, we get

=> 100 × x = 4 × (421200 - 27x)

=> 100x = 1684800 - 108x

=> 100x + 108x = 1684800

=> 208x = 1684800

=> x = 1684800/208

=> x = 8100


• Hence, first part = x = 8100 Rs.

• And, second part
= 15600 - x
= 15600 - 8100
= 7500 Rs.


$<marquee>Hence, your answers are 8100 Rs. and 7500 Rs.</marquee>$
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Thank you.. ;-)