Question

two equal sums were lent out at 9% and 4% simple interest respectively the interest earned on the Two loans add up to Rupees 1100 for 3 years find the total sum lent out



(ans will come ₹5641)​

Answer 1

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Let the sum be Rs. x.

Therefore, Rs. x are lent at 8% for t years and Rs. x are lent at 7% for (t+

2

1

) years.

∴

100

x×t×8

+x=2560

⇒8tx+100x=256000 .....(i)

and

2×100

x×(2t+1)×7

+x=2560

⇒

200

14tx+7x+200x

=2560

⇒14tx+207x=512000 .....(ii)

Performing (i) ×7− (ii) ×4, we get

(56tx+700x)−(56tx+828x)=256000×7−512000×4

⇒700x−828x=1792000−2048000

⇒120x=256000

⇒x=2000

Putting the value of x in (i), we get

8×t×2000+100×2000=256000

⇒16000t=256000−200000

⇒16000t=56000

⇒t=

16000

56000

=3.5 years

Step-by-step explanation:

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