Test: Ratio And Proportion- 1

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A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?



Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:


Let the third number be x.
Then, first number = 120% of 
Second number = 150% of  
∴ Ratio of first two numbers 


A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?


Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

⇒ x = 1000.

∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.


Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?


Originally, let the number of seats for Mathematics. Physics and Biology be 5x. 7x and 8x respectively.
Number of increased seats are (140% of 5x). (150% of 7x) and (175% of 8x).


In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:


Quantity of milk 
Quantity of water in it = (60 - 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres
Then, milk : water 

∴ Quantity of water to be added = 60 litres.

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