Question

A person has money to buy 25 cycles worth Rs. 500 each. How many cycles will he be able to buy if each cycle is costing Rs. 125 more?

Answer 1

Hint: We know that the person can buy 25 cycles worth Rs. 500 each. So, we can multiply them to find the total amount that the person has. Then, we can calculate the new price of each cycle, and divide the total amount by this new price to find the number of cycles that the person can buy.

Complete step-by-step solution:
We are given that the number of cycles that the person can buy initially = 25.
We also know that the cost of each cycle initially = Rs. 500.
Hence, we can say that the total amount that the person has = Rs. \[500\times 25\].
On multiplication, we can write,
The total amount that the person has = Rs. 12500.
Now, the question says that the price of each cycle has increased by Rs. 125.
So, we can now say that the new price of each cycle = Rs. 500 + 125.
Thus, we get that
The new price of each cycle = Rs. 625.
We can easily say that
Number of cycles that the man can buy = $\dfrac{\text{Total amount}}{\text{New price}}$.
Hence, the number of cycles that the person can buy = $\dfrac{12500}{625}$.
On cancelling the common factors, we get that
The number of cycles that the person can buy = 20.
Hence, the person can buy 20 cycles if each cycle is costing Rs. 125 more.

Note: We must understand the question carefully and must not use the concept of unitary method directly. This is because the base value, which is the price of each cycle, is not constant in this question. Also, we must note that the price of each cycle is increased by Rs. 125 and not the total amount.