Sum of rs. 1000 is lent out partly at 6% and the remaining at 10% per annum. If the yearly income on the average is 9.2%. The both parts respectively are
Answers
Parts are 200 & 800
Step-by-step explanation:
Let say Part are X & 1000 - X
Ineterest = X * 6 * 1 /100 = 6X/100
Interest = (1000 - X) * 10 * 1/100 = 100 - 10X/100
1000 * 9.2 * 1 /100 = 92
6X/100 + 100 - 10X/100 = 92
=> 4X/100 = 8
=> X = 200
1000 - X = 800
Parts are 200 & 800
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The parts are 200 and 800 respectively.
Step-by-step explanation:
Let p be lent on 6%.
(1000 – p ) is lent on 10%.
Simple Interest = 9.2% of 1000 = 92 Rs
SI = P × R × T / 100
92 = p × 6 / 100 + (1000 - p) / 100 × 10
6p + 10000 - 10 p= 9200
- 4p = 9200 - 10000
- 4p = - 800
p = 800 / 4 = 200 (First part)
Second part = 800
Thus the parts are 200 and 800 respectively.
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