# CASE STUDY QUESTION 24-Class X-Maths

CASE STUDY QUESTION 24-Class X-Maths

**The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year.**

**(i) Find the production during first year.**

(a) Rs. 5000 (b) Rs. 2200 (c) Rs. 10000 (d)none of these

**(ii) Find the production during 8th year**

(a) Rs. 7200 (b) Rs. 22000 (c) Rs. 20400 (d)none of these

Production during 8th year is given by a_{8}

= (a + 7d)

= (5000 + 7(2200))

= (5000 + 15400)

= 20400.

**(iii) Find the production during first 3 years.**

(a) Rs. 21600 (b) Rs. 22000 (c) Rs. 20400 (d)none of these

a_{2} = (a + d)

= (5000 + 2200) = 7200.

a_{3} = (a2 + d)

= 7200 + 2200 = 9400.

Production during first 3 years = 5000 + 7200 + 9400 = 21600

**(iv) In which year, the production is Rs. 29,200.**

(a) 10 (b) 11 (c) 12 (d) 13

a_{n} = 5000 + (n – 1)2200 = 29200

(n – 1)2200 = 29200 – 5000 = 24200

⇒ n – 1 = 11

⇒ n = 12

**(v) Find the difference of the production during 7th year and 4th year.**

(a) Rs. 5000 (b) Rs. 2200 (c) Rs. 10000 (d)none of these

a_{4} = (a + 3d)

= (5000 + 3(2200)) = 5000 + 6600 = 11600.

a_{7} = (a6 + d)

= 16000 + 2200 = 18200.

Difference = 18200 – 11600 = 6600