14% वार्षिक ब्याज की दर पर उध�

1.	14% वार्षिक ब्याज की दर पर उधार दिये। यदि उसे कुल वार्षिक ब्याज₹4460 मिलाएक व्यक्ति ने कुल ₹ 35000 की पूँजी का एक भाग \| 2% वार्षिक ब्याज कीउसने अलग-अलग कितना धन उधार दिये थे ?
Answer» Step-by-step EXPLANATION: Let the two sums be Rs. x and Rs. (35000 - x) CASE 1. Rs. x lent at 12% p.a. Here, sum = Rs. x TIME = 1 year rate of interest = 12% p.a. Then, interest = Rs. 12x/100 Case 2. Rs. (35000 - x) lent at 14% p.a. Here, sum = Rs. (35000 - x) time = 1 year rate of interest = 14% p.a. Then, interest = Rs. 14 * (35000 - x)/100 So total interest from two amounts is = Rs. 12x/100 + 14 * (35000 - x)/100 = Rs. (12x + 490000 - 14x)/100 = Rs. (490000 - 2x)/100 By the given condition, (490000 - 2x)/100 = 4460 or, 490000 - 2x = 446000 or, 2x = 490000 - 446000 or, 2x = 44000 or, x = 22000 Then, 35000 - x = 35000 - 22000 = 13000 Answer: THEREFORE the two sums were Rs. 22000 and Rs. 13000.

14% वार्षिक ब्याज की दर पर उधार दिये। यदि उसे कुल वार्षिक ब्याज₹4460 मिलाएक व्यक्ति ने कुल ₹ 35000 की पूँजी का एक भाग | 2% वार्षिक ब्याज कीउसने अलग-अलग कितना धन उधार दिये थे ?

Answer»

Step-by-step EXPLANATION:

Let the two sums be Rs. x and Rs. (35000 - x)

CASE 1. Rs. x lent at 12% p.a.

Here, sum = Rs. x

TIME = 1 year

rate of interest = 12% p.a.

Then, interest = Rs. 12x/100

Case 2. Rs. (35000 - x) lent at 14% p.a.

Here, sum = Rs. (35000 - x)

time = 1 year

rate of interest = 14% p.a.

Then, interest = Rs. 14 * (35000 - x)/100

So total interest from two amounts is

= Rs. 12x/100 + 14 * (35000 - x)/100

= Rs. (12x + 490000 - 14x)/100

= Rs. (490000 - 2x)/100

By the given condition,

(490000 - 2x)/100 = 4460

or, 490000 - 2x = 446000

or, 2x = 490000 - 446000

or, 2x = 44000

or, x = 22000

Then, 35000 - x = 35000 - 22000 = 13000

Answer: THEREFORE the two sums were Rs. 22000 and Rs. 13000.