Question

The price of a cycle is Rs. 2500. What will be the price of the cycle after another increment of 15% is applied?
A) Rs. 2800
B) Rs. 2875
C) Rs. 3000
D) Rs. 2815

Answer 1

Hint: The final price of the cycle will be the sum of the original price and the increment applied to the original price of the cycle. As increment is given in percentage, we will first find the amount of increment by finding 15% of Rs. 2500. Then we will add the increment to the original price to find the final price of the cycle.

Complete step by step solution: We are familiar with the market terms like discount and increment on the price of an object.
We know that Increment is defined as additional price or increased price of an object. The increment makes an object more expensive.

In mathematical terms, the increment can be defined as the difference between the original price of the object and the final price after the increment.
Now, we have the original price of the cycle as Rs. 2500.
Now, the increment is applied to the original price.
Given increment of price of the cycle: 15%
Let I be the increment applied.

So, we have increment equal to 15% of Rs. 2500 i.e. the original price of the cycle.
Thus, ${\text{I = 15% }}$ of Rs. 2500
$\Rightarrow{\text{I = }}\dfrac{{{\text{15}}}}{{{\text{100}}}} \times {\text{Rs}}{\text{.2500}}$
$\Rightarrow{\text{I = Rs .15}}\times{\text{ 25}}$
$\Rightarrow{\text{I = Rs}}{\text{.375}}$
Thus, we have the increment on the price of the cycle that is Rs. 375

Now, in order to calculate the final price of the cycle, we have to add the increment to the original price of the cycle.
So, final price of cycle is ${\text{Rs}}{\text{.2500 + Rs}}{\text{.375}}$
Final price of cycle is ${\text{Rs}}{\text{.2875}}$

Hence, the final price is Rs. 2875 so the option b) Rs. 2875 is correct.

Note: Students must not get confused with terms like increment and discount. Another approach to the question can be as increment is 15%, final price will be $\left( {{\text{100 + 15}}} \right){\text{% }}$ or ${\text{115% }}$ of Rs. 2500.
Thus, final price is $\dfrac{{{\text{115}}}}{{{\text{100}}}}{ \times \text{Rs}}{\text{.2500 = Rs}}{\text{.2875,}}$ hence the same answer.