Question
‘A’ and ‘B’ started a business by investing
certain sum in the ratio 6:5, respectively for 6 years. If 12% of the total profit is donated in an orphanage and A’s share is Rs. 1104, then find the total profit generated from the business.Solution
Since, ‘A’ and ‘B’ invested their sums for equal period, therefore, ratio of the profit received by ‘A’ and ‘B’ will be equal to the ratio of sum invested by them i.e. 6:5, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.88 × 100x = Rs. 88x Profit received by ‘A’ = 88x × (6/11) = Rs. 48x According to the question, 48x = 1104 Or, x = 23 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 2300
If 2x+1, x+2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1-x) and 8(1+x)?
If a + b + c = 14 and ab + bc + ca = 60, then find the value of a² + b² + c².
If (a + b) = 9 and ab = 14, find the value of (a² + b²).
If Â
 = 4 then The certain sum amounts to Rs11313.5 in 2(1/2) years at 12% p.a., interest compounded 10 months. The sum (in Rs) is:
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
- The ratio of M to N is 4:9, and that of N to O is 3:2. If the difference between O and M is 60, what is the total of M, N, and O?
- 8p 3 Â - 27q 3 Â - 36p 2 q + 54pq 2 Â is equivalent to:
- If (x + y + z) = 10 and (x 2 Â + y 2 Â + z 2 ) = 52, then find {z(x + y) + xy}.
If x3 + y3 = 9 and x + y=3 then the value of x4 + y4 is:
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