Word Problem 12

Problem 12: A sum of Rs 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years was Rs 300. The ratio of amounts lent at 5% and 8% is;

a. 5:8                   b. 8:5                       c.31:6                    d. 16:15

basic mathematics mcqs with solution


simple arithmetic questions and answers



Total Simple Interest = Rs 300

Time = 3 years

Money lent at 5% : Money lent at 8% =?

We start by supposing that;

Money Lent At 5%=yRs


\Rightarrow Money Lent At 8%=(1550-y)Rs

So, for first amount;

Yearly Interest @ 5%= \frac{5y}{100}

For second amount part;

Yearly Interest @ 8%= \frac{8(1550-y)}{100}


Total Interset Yearly= \frac{5y}{100}+\frac{8(1550-y)}{100}

But Yearly interest is calculated by dividing total interest by number of years!

From given data we can calculate it as;

Total Interset Yearly= \frac{Total Interest}{Number Of Years}

Total Interset Yearly= \frac{300}{3}=100

This interest  of given data and our calculated total interests should be same;

\Rightarrow \frac{5y}{100}+\frac{8(1550-y)}{100}=100

Solving for 'y'

\Rightarrow 5y+8\times 1550-8y=10000

\Rightarrow y=800

So, money lent at 5% interest is Rs 800 and money lentat 8% interest is 1550-y = 1550-800= Rs 750

Their ratio is;


which finally settles to be







Leave a Reply

Your email address will not be published.

You may use these <abbr title="HyperText Markup Language">HTML</abbr> tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

All original content on these pages is fingerprinted and certified by Digiprove
Insert math as
Additional settings
Formula color
Text color
Type math using LaTeX
Nothing to preview