Question

4. Solve the following questions. Each question carries 4 marks. (8 marks)
a) A truck driver travels 200 km east from Delhi to Moradabad. Then, he travels 80
km each day eastwards for the next 5 days and arrives at Kathmandu. From
Kathmandu, he drives 350 km west to Bareilly. How far is he from his starting
point?
b) On January 1, Ramesh had a bank balance of – 500. Over the next 4 months, his
bank account activity was as follows:
- A monthly salary of 4,000 was credited to his account.
- An amount of 1,000 was debited from his account as part of his monthly rent
payment.
- On January 1, Ramesh paid 460 for a mobile payment plan valid for 4 months.
(i) What is Ramesh's bank balance at the end of 4 months?
(ii) How much was his equivalent monthly mobile bill payment amount?​

Answer 1

Answer:

Let a number of notes are 2x, 3x and 5x.

According to question, 100 x 2x + 50 x 3x + 10 x 5x =4,00,000

\Rightarrow\ 200x+150x+50x=4,00,000⇒ 200x+150x+50x=4,00,000

\Rightarrow\ 400x=4,00,000⇒ 400x=4,00,000

\Rightarrow\ \frac{400x}{400}=\frac{400000}{400}⇒

400

400x

=

400

400000

[Dividing both sides by 400]

x = 1000

Hence, number of denominations of ` 100 notes = 2 x 1000 = 2000

Number of denominations of ` 50 notes = 3 x 1000 = 3000

Number of denominations of ` 10 notes = 5 x 1000 = 5000

Therefore, required denominations of notes of 100, 50 and ` 10 are 2000, 3000 and 5000 respectively.