A man lends out rs 9500 to two person a and b at the rate of 4% 6% pa si respectively if after 5 years he received total rs11500 from both persons
Answers
Answer:
Amount lent to a = 8500
Amount lent to b = 1000
Step-by-step explanation:
The interest received by the man is given by :
Interest = Amount earned after 5 years - the invested amount
This equals to = 11500 - 9500 = 2000
Simple interest = Principle × rate × Time
Let the amount lent to a be x, the amount lent to b will be (9500 - x).
Simple interest earned from a is :
= x × 4/100 × 5 = 0.2x
Simple interest earned from b is :
= (9500 - x) × 5 × 6/100 = 2850 - 0.3x
The total profit earned from the investment is :
Total profit = 0.2x + 2850 - 0.3x
= 2850 - 0.1x
This is equal to the profit earn so we equate the two :
2850 - 0.1x = 2000
-0.1x = 2000 - 2850
-0.1x = - 850
x = 850/0.1
x = 8500
The amount lent to a is Rs 8500
Amount lent to b is (9500 - 8500) = Rs 1000
Answer:
Step-by-step explanation:
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