Total = 15 lakh
Let the amount invested in fixed deposit be = x at 6 % SI
Remaining amount = 15 - x ... which was invested in 2 : 1 at rates 4 % and 3 % per annum.
So amount invested at 4 % pa = 2/3 ( 15 - x )
Amount invested at 3 % pa = 1/3 ( 15 - x )
Total interest after 1 year = 76000 = 0.76 lakh
So , ( x × 6 × 1 ) / 100 + [ 2/3 ( 15 - x ) × 4 × 1 ] / 100 + [ 1/3 ( 15 - x ) × 3 × 1 ] / 100 = 0.76
x = 9 lakh
So 9 lakh will be the answer .
A beat B by 11 and A beat C by 90m. That means B is already 79 m ahead of C. Now B will beat C by 80m and B is already 79m ahead so B will gain 1m lead in next 11m. So lead of 80m will be in the span of 80 × 11 = 880m
Let money invested be in ratio 300x:400x:500x Bina’s interest income = 400x× 5 × 1/100 Amala’s interest income = 300x × 6 × 1/100 Difference = 2x = 250 => x = 125 Total interest income = 20x + 18x + 20x = 58x = 58 × 125 = 7250
Let the score of Gautam = x ∴ Total score = 21 ×62 + x = 1302 +x …………… (1) Let the average of 21 students other than Ramesh is y ∴ 21y + 82.5 = 22(y+1) ⇒ 21y + 82.5 = 22y + 22 ⇒ y = 60.5 ∴ Total score = 22× 61.5 = 1353 …………….. (2) (1) & (2) ⇒ 1302 + x = 1353 ⇒ x = 51
At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?
Let A can do 2x units per day and B can do y units per day As per the question 12(2x+y) = 9(x + 3y) ⇒ 24x + 12y = 9x + 27y ⇒ 15x = 15y ⇒ x = y Let x= y = 1, so A will do 2 units/day and B will don 1 units/day ∴ Total work = 12 (2+1) = 36 units ∴ A alone will do it in 36/2 = 18 days
One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal’s travel time exceeds Amal’s travel time is nearest to
Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is
On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the pen at 5% gain and the book at 10% gain, he gains Rs. 13. What is the cost price of the book in Rupees?
Let CP of Pen = x and CP of book =y ATQ 0.95x + 1.15y = x + y + 7 -0.05x + 0.15y = 7 ------(1) and 1.05x + 1.10y = x + y + 13 0.05x + 0.1y = 13 ------(2) Adding (1) and (2) We get 0.25y = 20 So, y = 80
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