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Quantitative Reasoning Test 3
25. A box filled with paper bundles weighs 36 kilograms. If When 20 unskilled workers are employed, the total
the weight of the box and paper bundles respectively are daily wages of all amount to N3180. Find the daily
in the ratio of 3 : 22, then find the weight of the papers wages paid to each category of employees.
in grams. (A) 2100, 800, 280
(A) 30,680 (B) 2400, 480, 300
(B) 30,710 ( C) 2400, 600, 180
( C) 31,500 (D) 2200, 560, 420
(D) 31,680
32. The soldiers in two armies when they met in a battle
26. A, B and C scored 581 runs such that four times A’s runs were in the ratio of 10 : 3. their respective losses were
are equal to 5 times B’s runs which are equal to seven as 20 : 3 and the survivors as 40 : 12. If the number of
times C’s runs. Determine the difference between A’s survivors in the larger army be 24, 000, find the
runs and C’s runs. original number of soldiers in army.
(A) 125 (A) 28000, 8400
(B) 120 (B) 25000, 7500
( C) 105 ( C) 29000, 2750
(D) 90 (D) 26000, 7800
27. The ratio of boys to girls in an engineering college is 33. A machine is sold at a profit of 10%. Had it been sold
20 : 1. How many girls need to be added to make this for N40 less, there would have been a loss of 10%.
ratio 8 : 3? What was the cost price?
(A) 26 (A) N175
(B) 43 (B) N200
( C) 20 ( C) N225
(D) Cannot be determined (D) N250
28. A certain product C is made of two ingredients A and B 34. A house costs C naira. Later it was sold for a profit of
in the proportion 2 : 5. The price of A is three times that 25%. What is the capital gains tax if it is 50% of the
of B. The overall cost of C is N5.20 per kg including profit?
labour charges of 80 kobo per kg. Find the cost of B per (A) C/24
kg? (B) C/8
(A) N8.40 ( C) C/4
(B) N4.20 (d) C/2
( C) N4.80
(D) N2.80 35. If selling price is doubled, the profit triples. Find the
profit percent.
29. A sum of N430 has been distributed among 45 people (A) 66 2
consisting of men, women and children. The total 3
amounts given to men, women and children are in the (B) 100
ratio 12 : 15 : 16. But, the amounts received by each 1
3
man, woman and child are in the ratio 6 : 5 : 4. Find, ( C) 105
what each man, woman and child receives (in N) (D) 120
(A) 12, 10, 8
(B) 18, 15 , 12 36. A showroom owner sells a leather jacket for N X and
( C) 120, 150, 160 claims to make a profit of 10%. He plans to have a stall
(D) 60, 75, 80 in the trade fair and marks the same jacket at N 2X. At
the stall, he allows a discount of 20%. What will be the
30. The total salary of A, B, C is N444. If they spend 80%, percentage profit that he will make at the trade fair?
85%, 75% of their salaries respectively, their savings (A) 80%
are as 7 : 6 : 9. the salary of B is (B) 60%
(A) N140 ( C) 76%
(B) N160 (D) None of these
( C) N144
(D) None of these 37. If a person makes a profit of 10% on 1/4th of the
quantity sold and a loss of 20% on the rest, then what is
31. A factory employs skilled workers, unskilled workers his average percent profit or loss?
and clerks in the proportion 8 : 5 : 1 and the wage of a (A) 12.5% profit (B) 11.25 loss
skilled worker, an unskilled worker and a clerk are in ( C) 11.75% profit (D) 12.5% loss
the ratio 5 : 2 : 3. 23