Reena had ₹ 10000 with her, out of this money she lent some money to Akshay for 2 yr at 15% simple interest. She lent remaining money to Brijesh for an equal number of years at the rate of 18%. After 2 yr Reena found that Akshay had given her 360 more as interest as compared to Brijesh. The amount of money which Reena had lent to Brijesh must be

Let the money lent to Akshay = ₹ P
Then, money lent to Brijesh = ₹ (10000 - P) [as total amount = ₹ 10000]
SI for Akshay = (P x 15 x 2)/100 = 3P/10
SI for Brijesh = {(10000 - P) x 18 x 2}/100 = 9/25 (10000 - P)
According to the given condition, (3P/10) - [(9/25) x ( 10000 - P ) = 360
[as SI (Akshay) - SI (Brijesh) = 360]
⇒ (3P/10) - 3600 + 9P/25 = 360
⇒ 3P/10 + 9P/25 = 360 + 3600 = 3960
⇒ 33P/50 = 3960
⇒ P = 3960 x 50/33
⇒ P = 6000
∴ The amount of money lent to Brijesh
= 10000 - 6000 ₹ 4000