Question

Kiran had 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs. 5000. How much did she have in the denomination of Rs. 50?
(a) Rs. 2725
(b) Rs. 3500
(c) Rs. 1500
(d) Rs. 2800

Answer 1

Hint: We start solving the problem by assigning the variable for the total number of Rs. 50 notes present with Kiran. We then find the total number of Rs. 100 notes that Kiran will have using this assigned variable. We then find the total by multiplying the variables with their respective amounts and equate it Rs. 5000. We then make the necessary calculations to find the total number of Rs. 50 notes present with Kiran. We then multiply the obtained number of notes with 50 to get the required value of the total amount.

Complete step by step answer:
According to the problem, we are given that Kiran had had 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. We need to find the amount that she had in the denomination of Rs. 50 if the total amount of all these currency notes was Rs. 5000.
Let us assume that there are ‘x’ Rs. 50 notes. Then we have $\left( 85-x \right)$ Rs. 100 notes. We know that the sum of all these notes is Rs. 5000.
So, we have $\left( x\times 50 \right)+\left( \left( 85-x \right)\times 100 \right)=5000$.
$\Rightarrow 50x+8500-100x=5000$.
$\Rightarrow -50x=-3500$.
$\Rightarrow x=\dfrac{-3500}{-50}$.
$\Rightarrow x=70$.
So, Kiran had 70 notes which were of Rs. 50. Let us find the total amount that these currency notes hold.
Now, the amount is $70\times 50=3500$.
So, we have found that the total amount of all these currency notes was Rs. 5000. How much did she have in the denomination of Rs. 50 as Rs. 3500.

So, the correct answer is “Option b”.

Note: We can also assign another variable for the total number of Rs. 100 notes present with Kiran and use the condition that the total notes present with Kiran are 85 to solve. We should not make calculation mistakes while solving this problem. We should not stop solving the problems after finding the total number of Rs. 50 notes present with Kiran. Similarly, we can expect problems to find the percentage of amount that Kiran has in the denomination of Rs. 50 from the total amount present with her.