S K Gupta and Anubhuti Gangal Solutions for Chapter: Model Test Paper - 1 (Chapters 1 - 10), Exercise 3: MODEL TEST PAPER - I (Chapter 1 - 10)

 If $\frac{p}{q}$ is a rational number, then $p$ can be zero, but $q$ cannot be zero.
 

The compound interest on a certain sum at a particular rate of interest for fixed time, when calculated half yearly is double the $\mathrm{CI}$, when calculated annually.

$A$ can do a work in $15$ days and $B$ in $20$ days. If they work on it together for $4$ days, then the fraction of the work that is left is

$A$ and $B$ can do a work in $18$ days, $B$ and $C$ in $24$ days and $A$ and $C$ in $36$ days. The number of days in which $C$ can do the work alone is

A fair price shopkeeper takes $10\%$ profit on his goods. He lost $20\%$ goods during theft. His loss percent is:

Running at a constant rate, $6$ identical machines can produce a total of $270$ bottles per minute. At this rate, how many bottles could $10$ such machines produce in $4$ minutes?

A man purchases two clocks $A$ and $B$ at a total cost of $₹ 600$. He sells clock $A$ at $25\%$ profit and clock $B$ at a loss of $25\%$ and gets the same selling price for the clocks. What are the cost prices of $A$ and$B$ respectively?

The difference between the simple interest on a certain sum at the rate of $10\%$ per annum for $1\frac{1}{2}$ years and compound interest which is compounded every $6$ months is $₹61$. What is the principal sum?