Nishit K Sinha Solutions for Chapter: Arithmetic, Exercise 1: Practice Exercises

One litre of water is evaporated from $6 litres$ of a solution containing $4\%$ of sugar. The percentage of sugar is the remaining solution is-

Consider a big cube formed of $64$smaller cubes of which $40$are coloured. The smaller cubes are arranged such that the exposure of the coloured cubes to the outside is minimized. What is the percentage of the exposed area that is coloured?

On May $1, 2002$, a person sold all his investments for ₹ $108,000$, incurring a loss of $10\%$ with respect to the previous month. On April $1, 2002$, he had invested all his money in shares, which represented a $20\%$ increase over the sum he had on March $1,2002$, which represented a $20\%$ decrease over the money he had on February $1, 2002$, which represented a $25\%$ increase over the money he had on January $1,2002$. The person had maximum money in:

The owner of a flower shop follows a particular pattern for his business. During a period of inflation, he raises his price by $\mathrm{P}\%$, and during a slowdown, he decreases his existing prices by P%. After a year in which there was inflation first, followed by a slowdown, the cost of a red-rose bouquet decreases by $₹ 162$. After another year, in which there was inflation once more followed by a slowdown, the cost of this bouquet reduced by a further ₹ $147.42$. What was the original price of the red-rose bouquet?

Length of a rectangle is increased by $30\%$ and its breadth is increased by $10\%$. Perimeter of this rectangle can increase by $25\%$.

State whether the above statement is true or false.

Length of a rectangle is increased by $30\%$ and its breadth is increased by $10\%$. Perimeter of this rectangle can increase by $32\%$.

State whether the above statement is true or false.

Length of a rectangle is increased by $40\%$ and its breadth is increased by $20\%$. Percentage increase in the perimeter of the rectangle over the previous perimeter depends upon the dimension of the rectangle.

State whether the above statement is true or false.

Length of a rectangle is increased by $20\%$ and its breadth is increased by $10\%$. Percentage increase in the area of the rectangle over the previous area depends upon the dimension of the rectangle.

State whether the above statement is true or false.