Divide Rs. 15600 into two parts such that the interest on one at 5 percent

Open in App

Solution

Let one part=Rs. x
$∴$ Second part=Rs. (15600-x)
By the given condition
$= \frac{x \times 5 \times 5}{100} = \frac{(15600 - x) \times \frac{9}{2} \times 6}{100}$
$\Rightarrow 25 x = 27 \times 15600 - 27 x$
$\Rightarrow 25 x + 27 x = 27 \times 15600$
$\Rightarrow 52 x = 27 \times 15600$
$\Rightarrow x = \frac{27 \times 15600}{52} = 27 \times 300 = 8100$
Hence one part=Rs. 8100 and second part Rs. (15600-8100)=Rs. 7500

Suggest Corrections

Similar questions

Divide Rs. 15600 into two parts such that the simple interest on one at 5 percent for 5 years is equal to interest on remaining at 6% per annum for 4.5 years.

Divide ₹ 15600 into two parts such that the simple interest on one at 5 percent for 5 years is equal to interest on remaining at 6% per annum for 4.5 years. Find the two parts.

Q. Divide Rs.15,600 into two parts such that the simple interest on one at 5 percent for 5 years may be equal to that on the other at

4 \frac{1}{2}

per cent for 6 years.

Q. Divide Rs 351 into two parts such that one may be to the other as 2 : 7.

Q. Divide Rs.

6500

in two parts, such that if one part is lent out at

9 %

per annum and other at

10 %

per annum, the total yearly income(income from simple interest) is Rs.

605

Join BYJU'S Learning Program

Divide Rs. 15600 into two parts such that the interest on one at 5 percent

Let one part=Rs. x ∴ Second part=Rs. (15600-x) By the given condition =x×5×5100=(15600−x)×92×6100 ⇒25x=27×15600−27x ⇒25x+27x=27×15600 ⇒52x=27×15600 ⇒x=27×1560052=27×300=8100 Hence one part=Rs. 8100 and second part Rs. (15600-8100)=Rs. 7500