- Rs. 1800 is given at 20% per annum SI while Rs (1800 – P) is given at 30% per annum CI. If the difference between both interests at the end of two years is Rs 315. Find P.
200400300100500Option C

Total S.I. = 1800ร2ร20/ 100 = Rs. 720

Total C.I. = (1800 โ ๐) [(1 + 30 100 ) 2 โ 1] = (1800 โ ๐) ร 69/ 100

ATQ, (1800 โ ๐) ร 69/ 100 โ 720 = 315

(1800 โ ๐) = 100/ 69 ร 1035

1800 โ ๐ = 1500

โ ๐ = 300 - Three partners A , B and C invested their amounts in ratio 7:5:3. At the end of six months, A withdraws his amount such that his total investment will be equal to Cโs initial investment. If Cโ share in annual Profit is Rs. 3600. Aโs annual profit will be ?
50004000300060002000Option D

Let their initial investments be 7๐ฅ, 5๐ฅ and 3๐ฅ respectively.

Ratio of their profit = 7๐ฅ ร 6 + 3๐ฅ ร 6 โถ 5๐ฅ ร 12 โถ 3๐ฅ ร 12

= 60๐ฅ โถ 60๐ฅ โถ 36๐ฅ = 15 โถ 15 โถ 9

Aโs profit = 3600 ร 39/ 9 ร 15/ 39

= Rs. 6000 - Bโs age is 10 years older than A. If the ratio of Bโs age 11 years hence and Cโs present age is 3:2. At present Cโs age is thrice Aโs age. What will be the age of C after 7 years?
2227252821Option C

Let, age of A be โ๐ฅโ years.

Then age of B = โ๐ฅ + 10โ years

And age of C = 3๐ฅ years

ATQ, (๐ฅ+10+11)/ 3๐ฅ = 3/ 2

(๐ฅ + 21)2 = 9๐ฅ

7๐ฅ = 42

โ ๐ฅ = 6

Age of C after 7 years = 3๐ฅ + 7

= 18 + 7 = 25 years - If the ratio of curved surface area to the volume of cylinder is 4:7 while the ratio of diameter to the height of cylinder is 14:5. Find the total surface area of cylinder.?
118120125110132Option E

2๐๐โ/ ๐๐^ 2โ = 4/ 7

2 ๐ = 4/ 7

๐ = 7/ 2

2๐/ โ = 14/ 5

โ โ = 5 /2

Total surface area = 2 ร 22/ 7 ร 7 /2 ( 7 /2 + 5/ 2 )

= 22 ร 12 /2 = 132 - A and B sold two articles at 25% profit and 40% profit respectively. If total profit is Rs. 178 and the cost price of A is Rs 120 less than B. find the CP of B.
280200320220300Option C

Let, CP of B be ๐ฅ + 120

And that of A be ๐ฅ

Then, 25/100 ร ๐ฅ + 40/100 (๐ฅ + 120) = 178

65๐ฅ /100 + 48 = 178

๐ฅ = 200

C.P. of B = ๐ฅ + 120 = Rs. 320 - 24.001 ร 14.999 ร 9.998 = ?
32303600312530003250Option B

24.001 ร 14.999 ร 9.998 = ?

24 ร 15 ร 10 โ 3600 - 14.003โ?+ 53.0345โ? = 67/26.999 ร (? )
729772670789770Option A

14.003โ?+ 53.0345โ? = 67/26.999 ร (? )

14โ?+ 53โ? = 67/27 ร?

67โ?= 67/ 27 ร?

โ? = 27

? = 729 - 10.11ร36.93+โ48.875 ร 19.99 = 17.231 ร โ?
7009006008001000Option B

10.11ร36.93+โ48.875 ร 19.99 = 17.231 ร โ?

10 ร 37 + 7 ร 20 = 17 ร โ?

โ? = 30

? = 900 - 1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89
67984Option D

1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89

โ 1900 รท 190 + 10 +?^2 = 84

?^ 2 = 84 โ 10 โ 10

? = 8 - 39.7% ๐๐ 801 โ 250.17 = ? โ63% ๐๐ 801
567647663574600Option D

39.7% ๐๐ 801 โ 250.17 = ? โ63% ๐๐ 801

โ 40 ร 8 โ 250

=? โ63 ร 8

?= 574

**Directions(6-10):** What approximate value will come in place of question mark ‘?’ in the following questions.