| (i) If Nikita travels 252km in 12 hours then she travels P km in 21 hours |
| (ii) if cost price of 5 chairs and 6 tables is Rs.750 and Rs. 3600 respectively, then cost price of 3 such chairs and 2 such tables is Rs. Q. |
| (iii) The ratio of the number of boys to total number of students in a class is R, if the number of boys and girls are 36 and 18 respectively. |
A)
P Q R 400 1680 \[2:3\]
B)
P Q R 325 2650 \[3:2\]
C)
P Q R 441 1650 \[2:3\]
D)
P Q R 441 3280 \[3:4\]
Correct Answer: C
Solution :
(i) In 12 hours, Nikita travels = 252 km In 21 hours, Nikita travels \[=\frac{252}{12}\times 21=441\,km\] (ii) Cost price of 5 chairs = Rs.750 Cost price of 1 chair \[=Rs.\,\frac{750}{5}=Rs.\,150\] \[\therefore \] Cost price of 3 chairs \[=150\times 3=Rs.450\] Cost price of 6 tables \[=Rs.3600\] Cost price of 1 table \[=\frac{3600}{6}=Rs.600\] \[\therefore \]Cost price of 2 tables \[=600\times 2=Rs.1200.\] Hence, cost price of 3 chairs and 2 tables \[=(450+1200)=Rs.\,1650\] (iii) Required ratio \[=\frac{36}{36+18}=\frac{36}{54}=\frac{2}{3}=2:3\]
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