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  1. An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that
    of an Indian is 5ft 9 inches and that of the whole army is 5ft 93inches.
    4
    Then the number of Indians in the army is








  1. View Hint View Answer Discuss in Forum

    Let the number of members of Indian army be n.
    ∴ Number of European army = 12000 – n.
    According to the question,

    ⇒ 5
    9
    		 × n + 5
    10
    		 × (12000 - n)
    1212
    12000

    = 539
    48

    ⇒69n + 70 × 12000 -70n
    121212

    Correct Option: A

    Let the number of members of Indian army be n.
    ∴ Number of European army = 12000 – n.
    According to the question,

    ⇒ 5
    9
    		 × n + 5
    10
    		 × (12000 - n)
    1212
    12000

    = 539
    48

    ⇒69n + 70 × 12000 -70n
    121212

    = 279 × 12000
    12

    ⇒ 69n + 840000 – 70n = 837000
    ⇒ n = 840000 – 837000 = 3000

  1. A and B have their annual average income Rs. 80,000. B and C have their annual average income Rs. 75,000. C and A have their annual average income Rs. 78,000. The annual income of A is








  1. View Hint View Answer Discuss in Forum

    According to question ,
    Average of annual income of (A + B) = Rs. 80000
    Total annual income of (A + B) = Rs. (2 × 80000) = Rs. 160000 ..... (i)
    Average of annual income of (B + C) = Rs. 75000
    Total annual income of (B + C) = Rs. (2 × 75000) = Rs. 150000 ..... (ii)
    Average of annual income of (C + A) = Rs. 78000
    Total annual income of (C + A) = Rs. (2 × 78000) = Rs. 156000 ..... (iii)
    On adding all three equations , we get
    Total annual income of 2 (A + B + C) = Rs. (160000 + 150000 + 156000) = Rs. 466000
    ∴ Total annual income of (A + B + C) = Rs. 233000 ..... (iv)

    Correct Option: C

    According to question ,
    Average of annual income of (A + B) = Rs. 80000
    Total annual income of (A + B) = Rs. (2 × 80000) = Rs. 160000 ..... (i)
    Average of annual income of (B + C) = Rs. 75000
    Total annual income of (B + C) = Rs. (2 × 75000) = Rs. 150000 ..... (ii)
    Average of annual income of (C + A) = Rs. 78000
    Total annual income of (C + A) = Rs. (2 × 78000) = Rs. 156000 ..... (iii)
    On adding all three equations , we get
    Total annual income of 2 (A + B + C) = Rs. (160000 + 150000 + 156000) = Rs. 466000
    ∴ Total annual income of (A + B + C) = Rs. 233000 ..... (iv)
    ∴ A’s annual income = Equation (iv) – (ii)
    ∴ A’s annual income = Rs. (233000 – 150000) = Rs. 83000

  1. A man purchases milk for three consecutive years. In the first year, he purchases milk at the rate of ₹7.50 per litre, in the second year, at the rate of ₹8.00 per litre and in the third year, at ₹8.50 per litre. If he purchases milk worth ₹4,080 each year, the aver-age price of milk per litre for the three years is








  1. View Hint View Answer Discuss in Forum

    Quantity of milk :-
    First year ⇒ 4080 ÷ 7.5 = 544 litres
    Second year ⇒ 4080 ÷ 8 = 510 litres
    Third year ⇒ 4080 ÷ 8.5 = 480 litres

    ∴ Required average = 3 × 4080
    544 + 510 + 480

    Correct Option: B

    Quantity of milk :-
    First year ⇒ 4080 ÷ 7.5 = 544 litres
    Second year ⇒ 4080 ÷ 8 = 510 litres
    Third year ⇒ 4080 ÷ 8.5 = 480 litres

    ∴ Required average = 3 × 4080
    544 + 510 + 480

    Required average = 12240
    1534

    Required average = ₹ 7.98 per litre

  1. On mixing two classes A and B of students having average marks 25 and 40 respectively, the overall average obtained is 30. Find the ratio of the students in the classes A and B.








  1. View Hint View Answer Discuss in Forum

    Let Number of students in class A = p
    Number of students in class B = q
    According to question ,
    ∴ 25p + 40q = 30(p + q)
    ⇒ 25p + 40q = 30p + 30q
    ⇒ 30p – 25p = 40q – 30q
    ⇒ 5p = 10q

    Correct Option: A

    Let Number of students in class A = p
    Number of students in class B = q
    According to question ,
    ∴ 25p + 40q = 30(p + q)
    ⇒ 25p + 40q = 30p + 30q
    ⇒ 30p – 25p = 40q – 30q
    ⇒ 5p = 10q

    ⇒ p = 10 = 2 : 1
    q5

  1. While purchasing one item costing ₹400, one has to pay sales tax at 7% and on another costing ₹6400, the sales tax was 9%. The per cent of sales tax one has to pay, taking these items together on an average is:








  1. View Hint View Answer Discuss in Forum

    According to question ,

    Sales tax on the article sold at ₹400 = 400 × 7 = ₹28
    100

    Sales tax on the article sold at ₹6400 = 6400 × 9= ₹ 576
    100

    Total tax = 28 + 576 = ₹ 604
    Percentage sales tax = 604 × 100
    6800

    Correct Option: B

    According to question ,

    Sales tax on the article sold at ₹400 = 400 × 7 = ₹28
    100

    Sales tax on the article sold at ₹6400 = 6400 × 9= ₹ 576
    100

    Total tax = 28 + 576 = ₹ 604
    Percentage sales tax = 604 × 100
    6800

    Percentage sales tax = 151= 815%
    1717