You have Rs 12000 saved amount and wants to invest it in two schemes yeilding 10% and 15% interest. How each schemes so that you should get overall 12% interest.

Let Rs x be the amount to be saved at 10%

Let Rs y be the amount to be saved at 15%

From the question, given that,

x + y = 12000 …….. (1)

10% of x + 15% of y = 12% of 12000

(10/100)x + (15/100)y = (12/100) x 12000

(10x + 15y)/ 100 = 1440

10x + 15y = 144000 …….. (2)

Consider

x + y = 12000 …..(1)

x = 12000 – y … (3)

substitute this x value in equation (2), we get,

10(12000 – y) + 15y = 144000

120000 – 10y + 15y = 144000

5y = 144000 – 120000

5y = 24000

y = 24000/5

y = 4800

On substituting the value of y in (3), we get,

x = 12000 – 4800

x = 7200

Therefore, the amount saved at 10% is Rs 7200 and the amount saved at 15% is Rs 4800

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