# Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

**Solution:**

Let's form a linear equation for the given problem statement.

Let's tabulate the given conditions according to the question.

Denomination |
Number of notes |
Total Amount |

₹100 | 2x | 200x |

₹50 | 3x | 150x |

₹10 | 5x | 50x |

From the table, we can see that the total value of all denominations is,

200x + 150x + 50x = 400x

We know that the total cash she has is Rs.4,00,000

Therefore,

400x = 400000

x = 1000

Thus the number of denominations of each note is

Denomination | Number of notes |

₹100 | 2x = 2 × 1000 = 2000 |

₹50 | 3x = 3 × 1000 = 3000 |

₹10 | 5x = 5 × 1000 = 5000 |

**Video Solution:**

## Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.2 Question 14

**Summary:**

Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. The total number of notes of ₹100, ₹50, and ₹10 are 2000, 3000, and 5000 respectively.