Divide ₹1750 into two parts such that one part be lent out at 15% per annum for 2 years and the other at 16% per annum for 3years the total interest at ₹624 ?
Answers
₹1750 is divided into two parts such that one part be lent out at 15% per annum for 2 years and the other at 16% per annum for 3years which is Rs. 1200 & Rs. 550 respectively.
Step-by-step explanation:
Let Rs. 1750 be divided into Rs. “x” at 15%p.a. for 2 years and Rs. “(1750 - x)” at 16% p.a. for 3 years.
Total interest = Rs. 624
Required Formula:
Simple Interest = 
Now, using the formula and according to the data in the question we have,
624 = +
⇒ 62400 = 30x + 84000 – 48x
⇒ 18x = 21600
⇒ x = Rs. 1200
∴ 1750 – x = 1750 – 1200 = Rs. 550
Thus, Rs. 1750 was divided into Rs. 1200 and Rs. 550 respectively.
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Answer:
Rs 1200 , Rs 550
Step-by-step explanation:
let the first part be x
then the second part is (1750-x)
we know that S.I=p×r×t/100
Now, S.I for the first part=x×15×2/100
=30x/100
Since, S.I for the second part=(1750-x)×16×3/100
=(1750-x)×48/100
total sum of interest, given as Rs 624
since. 30x/100+(1750-x)×48/100=624
& 30x+84000-48x/100=624
& 30x-48x=624×100
& -18x=62400-84000
& -18x=-21600
& x=1200
Thus, the first part=x= Rs1200
And the second part= 1750-x
= Rs 1750-1200
=Rs 550
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