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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
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- ₹ 4000
- ₹ 2500
- ₹ 3500
- ₹ 4200
- None of the above
Correct Option: A
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
