Embibe Experts Solutions for Chapter: Arithmetic, Exercise 6: Exercise 6

Divide Rs. 25300 into 3 parts so that their amounts 4, 6 and 8 years respectively may be equal, the rate of interest being 5% per annum at simple interest. What is the first part ?

$A$ lends $₹2500$ to $B$ and a certain sum to $C$ at the same time at $7\% \mathrm{p}.\mathrm{a}.$ simple interest. If after $4 \mathrm{years}$, $A$ altogether receives $₹1120$ as interest from $B$ and $C$, then find the sum lent to $C$.

What sum will give $₹244$ as the difference between simple interest and compound interest at $10\% \mathrm{p}.\mathrm{a}.$ in $1\frac{1}{2} \mathrm{years}$ compounded half-yearly?

The compound interest is $₹6.40$ more than the simple interest, if a sum is lent out for $2 \mathrm{years}$ at $8\%$ compound interest. Find the sum?

If a sum of money at compound Interest amounts to thrice of itself in $3 \mathrm{years}$, then in how many years will it be $9$ times of itself?

What will be the amount of a sum of $₹5000$ is placed at compound interest for $3 \mathrm{years}$ while rate of interest for the first, second and third year is $2\%$, $3\%$ and $4\%$ respectively?

A certain sum of money amounts to ₹. $756$ in $2 \mathrm{years}$ and ₹. $873$ in$3\frac{1}{2}$  $\mathrm{years}$. Find the sum and the rate of interest. (Simple interest)

Two equal sums of money are lent at the same time at $8\%$ and$7\%$ per annum S.I. The former is recovered $6$months earlier than the later and the amount in each case is $₹ 2560$. What is the sum ?