Q.10 Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total
money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is
(A) 5 (B) 6 (C) 9 (D) 10
Finding the Number of Rs. 10 Notes
Currency-based word problems are common in aptitude and competitive exams.
This question uses basic algebra to determine the
number of Rs. 10 notes when the total number of notes
and their combined value are given.
Step 1: Define Variables
Let:
- x = number of Rs. 10 notes
- (14 − x) = number of Rs. 20 notes
Step 2: Form the Equation
Total value of notes = Rs. 230
10x + 20(14 − x) = 230
Step 3: Solve the Equation
10x + 280 − 20x = 230
−10x = −50
x = 5
Step 4: Interpret the Result
The number of Rs. 10 notes Raju has is
5.
Quick Verification Table
| Rs. 10 Notes | Rs. 20 Notes | Total Value (Rs.) |
|---|---|---|
| 5 | 9 | 230 |
| 6 | 8 | 220 |
| 9 | 5 | 190 |
| 10 | 4 | 180 |
Final Answer
The number of Rs. 10 notes Raju has is 5.
