IBPS SO Prelims Exam Model Paper 1

Suppose P invested an amount of Rs. T. So, Q invested an amount of Rs. (T – 2000).
Q invested for two years while P withdrew his share and profit after a year.
The profit that this investment offers is 10% for a year.
Case i) Profit earned by Q in two years - Profit earned by P in one year = Rs. 200
⇒ (T - 2000) × (

10

100

) × 2 – (T × (

10

100

)) = 200
⇒ 0.2T – 400 – 0.1T = 200
⇒ T =

600

0.1

= 6000
Total money invested = T + T – 2000 = 10000
Case ii) Profit earned by P in one year - Profit earned by Q in two years = Rs. 200
⇒ (T × (

10

100

)) - (T - 2000) × (

10

100

) × 2 = 200
⇒ - 0.2T + 400 + 0.1T = 200
⇒ T =

200

0.1

= 2000
In this case, money invested by Q will become 0.
Total money invested = T + T – 2000 = 2000
Although this case is theoretically possible but no option matches the answer produced by it.
∴ Total money invested is Rs. 10000.