If you have ₹ 800 and you save ₹ 250 every month, find the amount you have after (i) 6 months (ii) 2 years Class 9

If you have ₹ 800 and you save ₹ 250 every month, find the amount you have after (i) 6 months (ii) 2 years Class 9

Question 1.

If you have ₹ 800 and you save ₹ 250 every month, find the amount you have after (i) 6 months (ii) 2 years. Express this as a linear pattern. Class 9

Solution:

Initial amount = ₹ 800

Monthly savings = ₹ 250

Let the number of months be t.

Total amount after t months

= Initial amount + (Monthly savings × t)

∴ Total amount after t months = 800 +(250 × t)

∴ The linear pattern representing the total amount after t months is, 800 + 250t

Number of months (t) = 6

Substituting t = 6 in 800 + 250t, we get

Total amount after 6 months = 800 + (250 × 6)

= 800 + 1500

= 2300

∴ The amount after 6 months is ₹ 2300

Number of months (t) = 2 × 12 = 24 months

Substituting t = 24 in 800 + 250t, we get

Total amount after 24 months = 800 + (250 × 24)

= 800 + 6000

= 6800

∴ The amount after 2 years is ₹ 6800