Ratio and Proportion 1/2

9. Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is:
a. 1 : 2
b. 2 : 3
c. 3 : 2
d. 19: 135


10. If a:b=c:d, then $\displaystyle\frac{{ma + nc}}{{mb + nd}}$ is equal to
a. m : n
b. na:mb
c. a : b
d. md:nc


11. Rs.1050 is divided among P, Q and R. The share of P is $\displaystyle\frac{2}{5}$ of the combined share of Q and R. Thus, P gets:
a. Rs.200
b. Rs.300
c. Rs.320
d. Rs.420


12. Divided Rs.600 among A,B and C so that Rs.40 more than $\displaystyle\frac{2}{5}$th of A's share. Rs.20 more than $\displaystyle\frac{2}{7}$ of B's share and Rs.10 more than $\displaystyle\frac{9}{{17}}$th of C's share may all be equal. What is A's share ?
a. Rs.280
b. Rs.150
c. Rs.170
d. Rs.200


13. 729 ml.of a mixture contains milk and water in the ratio of 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio of 7:3 ?
a. 60 ml
b. 70 ml
c. 81 ml
d. 90 ml


14. A and B are two alloys of gold and copper prepared by mixing metals in proportions 7:2 and 7:11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the proportion of gold and copper in C will be :
a. 5 : 9
b. 5 : 7
c. 7 : 5
d. 9 : 5


15. The students in three classes are in the ratio 2:3:5. If 20 students are increased in each class, the ratio changes to 4:5:7. The total number of students before the increase were :
a. 10
b. 90
c. 100
d. None of these


16. The ratio of money with Ram and Gopal is 7:17 and that with Gopal and Krishna is 7:17 . If Ram has Rs.490, Krishna has :
a. Rs.2890
b. Rs.2330
c. Rs.1190
d. Rs.2680


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