Question

3. (i) The amount with Aarthi is 80 more than that
with Bhargavi. Chandini has 50 less than the
amount with Bhargavi. Divyani has 120 more
than the sum of the amounts with Bhargavi and
Chandini. The money with them, when pooled
together, is in denominations of 10 and 520 only
and they together have a total of 500. What is
the least number of 10 notes they can have?
(A) 1 (B) 2 (C) 3
(D) 4
CARS

Answer 1

Answer:

The minimum no. of 10 notes required is 1.

Step-by-step explanation:

Let the amount with Aarti be A, Bhargavi be B and Chandani be C.

According to Question, A = B + 80                --------------------(1)

C = B - 50                                                        ---------------------(2)

D = 120 + B + C

⇒ D = 120 + 2B - 50

⇒ D = 2B + 70                                                 --------------------(3)

A+B+C+D = 500

⇒ B+80 + B + B-50 + 2B + 70 = 500

⇒ 5B = 500 - 100

⇒ 5B = 400

⇒ B = 80

⇒ A = 160

⇒ C = 30

⇒ D = 230

Denominations are of --- 5, 10, 20

So, the amount can be divided as --- (11x20) + (10x1)

So, the minimum no. of 10 notes required is 1.

Hope this helps.....