Neha and Priya borrowed Rs 5400 and Rs 6000 respectively at the same rate of interest for 135 years- If Priya paid Rs 240 more then- Neha- then find the rate of interest-

#160;Let rate of interest be #160; r% As simple interest = Prt100 Where, p= principal, #160; r= rate of interest t= period in ye ...

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Standard VII

Mathematics

Simple Interest

Neha and Priy...

Question

Neha and Priya borrowed $R s 5400$ and $R s 6000$ respectively at the same rate of interest for $1 \frac{3}{5} y e a r s$ . If Priya paid $R s 240$ more then, Neha, then find the rate of interest.

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Solution

Let rate of interest be $r %$
As simple interest $= \frac{P r t}{100}$
Where,
$p =$ principal,
$r =$ rate of interest
$t =$ period in years
According to the given condition,
$\Rightarrow \frac{(5400) r (\frac{8}{5})}{100} + 240 = \frac{(6000) r (\frac{8}{5})}{100}$
(Neha's interest $+ 240 =$ Priya's int)
$\Rightarrow 1080 \times 8 r + 24000 = 1200 \times 8 r$
$\Rightarrow 8 r (120) = 24000$
$\Rightarrow 8 r = 200 \Rightarrow r = 25 %$

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Neha and Priya borrowed Rs 5400 and Rs 6000 respectively at the same rate of interest for 135 years. If Priya paid Rs 240 more then, Neha, then find the rate of interest.

Let rate of interest be r%As simple interest =Prt100Where,p= principal, r= rate of interestt= period in yearsAccording to the given condition,⇒(5400)r(85)100+240=(6000)r(85)100(Neha's interest +240= Priya's int)⇒1080×8r+24000=1200×8r⇒8r(120)=24000⇒8r=200⇒r=25%

Neha and Priya borrowed $R s 5400$ and $R s 6000$ respectively at the same rate of interest for $1 \frac{3}{5} y e a r s$ . If Priya paid $R s 240$ more then, Neha, then find the rate of interest.