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**Solution :-**

*Q1. Option A*

*Distance in plains = 60% of 150km = 60 x 1.5 = 90km *

*Distance in hills = 24% of 150km = 24 x 1.5 = 36km *

*Distance in desert = 16% of 150km = 16 x 1.5 = 24km *

*Total distance in plains & hills = 90+36 = 126km *

*Total time in plains & hills = 2.25 + y *

*ATQ, 42km/hr = *

*42 (2.25 + y) = 126 *

*94.5 + 42y = 126 *

*y = 31.5/42 = 0.75 hrs *

*Avg. speed of man in hills = 36km / (0.75hrs) = 144/3 = 48 km/hr*

* *

*Q2. Option B*

*If y = 0.75 hrs, x = 4.5 – (2.25 + 0.75) = 1.5 hrs *

*Then, time spent on work in plains = 42% of 2.25 = 0.945 hrs *

*Time spent on work in hills = 10% of 0.75 = 0.075 hrs *

*Time spent on work in desert = 2% of 1.5 = 0.030 hrs *

*Total time spent on work = 0.945 + 0.075 + 0.030 = 1.05 hrs *

*Time (in minutes) = 1.05 x 60 = 63 minutes *

*Questions he can answer in 63 minutes = Quotient of ( 63 / 5 ) *

*= 12 questions *

*His pay = (12 questions) x (₹75) = ₹ 900 *

*Savings = 12.5% of 900 = ₹112.5 *

* *

*Q3. Option C
Distance in plains = 60% of 150km = 60 x 1.5 = 90km = a (say) *

*Distance in hills = 24% of 150km = 24 x 1.5 = 36km = b (say) *

*Distance in desert = 16% of 150km = 16 x 1.5 = 24km = c (say) *

*Given,*

*(Expense in landscape)*

*Expense in desert = (90 x 87000)/174 = 90000/2 = ₹45,000 *

*Expense on meals = 40% of 45000 = 450 x 40 = ₹18,000*

*Q4. Option D*

*Distance in plains = 60% of 150km = 60 x 1.5 = 90km *

*Distance in hills = 24% of 150km = 24 x 1.5 = 36km *

*Distance in desert = 16% of 150km = 16 x 1.5 = 24km *

*So, ATQ, m% of 24 = 36 *

*Or, m = (36 x 100)/24 = 1.5 x 100 = 150% …(1) *

*And, n% of 90 = 24 *

*Or, n = (24 x 100)/90 = 24 x 0.9 = (80/3)% …(2) *

*Required ratio = [150 + (80/3)] : [150 – (80/3)] *

*= (450+80) : (450-80) = 530 : 370 = 53 : 37*

* *

*Q5. Option E*

*Given that, x – y = 0.75 *

*And, x + y = 4.5 -2.25 = 2.25 *

*Adding them, 2x = 3 or, x = 1.5hrs and y = 2.25 – x = 0.75 hrs *

*Distance in hills = 24% of 150km = 24 x 1.5 = 36km = a (say) *

*Distance in desert = 16% of 150km = 16 x 1.5 = 24km = b (say) *

*Swapping a and b, while time remained same, *

*Distance in hills = b = 24km in time taken in desert = x = 1.5hrs *

*Distance in desert = a = 36 km in time taken on hills = y = 0.75hrs *

*Avg. speed of B on hills = 24km/ 1.5hrs = 16km/hr *

*Avg. speed of B in desert = 36km/ 0.75hrs = 48km/hr *

*Required ratio = 16km/hr : 48 km/hr = 1 : 3*

* *

*Q6. Option B*

* *

*Q7. Option A*

*Q8. Option B*

*Total units sold by companies A, B and C = (500 + 700 + 200) = 1400*

*Total units produced by companies A, B and C = 800 + 1000 + 400 = 2200*

* *

*Q9. Option E*

*Q10. Option E*

*The total units produced by companies C, D and E = 400 + 700 + 900 = 2000 units*

*The total units sold by companies B, C and F = 700 + 200 + 200 = 1100 units*