Question
'X' invested Rs. 18,000, splitting the amount between
two SIPs: 'P' offering 8% per annum simple interest and 'Q' offering 10% per annum compound interest, compounded annually. Determine the amount invested in SIP 'Q' if 'X' earned a total interest of Rs. 4,775 after three years.Solution
ATQ, Let the amount invested in SIP 'Q' be = Rs.'p' So the amount invested in SIP 'P' = Rs. ‘18000 – p’ Interest earned from SIP P = (18000 – p) × 0.08 × 3 = Rs. ‘4,320 – 0.24p’ Interest earned from SIP Q = p × {(1 + 0.10)3 – 1} = Rs. 0.331p According to question: 4320 – 0.24p + 0.331p = 4775 0.091p = 455 p = 5000 So the amount invested in SIP Q = Rs.5,000
If the product of two numbers is 560 and their HCF is 8, find the LCM of those two numbers.
The LCM of two numbers is 4 times of their HCF. The sum of LCM and HCF is 280. If one of the number is 224, then the other number is:
- Find the least common multiple of (25/35), (10/14), and (30/42).
Find the HCF of 36, 108, and 156.
- If the product of two numbers is 225 and their HCF is 15, then find the LCM of the given two numbers.
The HCF of any set of 10 co-prime numbers is always:
What is the smallest number that needs to be added to or subtracted from 1164 to make it a multiple of 37?
The LCM and the HCF of the numbers 25 and 40 are in the ratio:
The HCF and LCM of two numbers, A and B, are 14 and 196, respectively. The difference between these two numbers is 28. Find their sum.
The square of sum of two numbers is 25,600 and the sum of squares of the same two numbers is 13,000. If their H.C.F. is 10, then find their L.C.M.
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