A sum of ₹1550 is lent out in two parts, one at 8% and another at 6% simple interest. If the total annual interest is ₹106, what is the money lent at 8%? ₹1550 की राशि दो भागों में उधार दी जाती है, एक 8% पर और दूसरी 6% साधारण ब्याज पर। यदि कुल वार्षिक ब्याज ₹106 है, तो 8% पर उधार दिया गया धन क्या है?
A
₹650 (₹650)
B
₹900 (₹900)
C
₹750 (₹750)
D
₹800 (₹800)
or press Space / Enter
Correct Answer ₹650
Explanation
Overall rate = (106/1550)*100 = 6.84%. Using Alligation between 8% and 6% with mean 6.84%: (6.84-6) : (8-6.84) = 0.84 : 1.16 = 21:29. 8% part = (21/50)*1550 = ₹651. Wait, simple calculation: 0.08x + 0.06(1550-x) = 106 => 0.02x + 93 = 106 => 0.02x = 13 => x = 650.