Hello Aspirants.

Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample in **Ratio & Proportion** , which is common for IBPS, SBI, RBI, IPPB, LIC, SSc and all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

**An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.X, and the difference between Q and R’s share is Rs.3000. Find the total amount of money?**

A.11000

B.12400

C.13200

D.14300

E.None of theseAnswer –**C.13200**

**Explanation :**

12a-7a = 3000

5a = 3000

a = 600

7a-4a = x

3a = x

x = 1800

22*600 = 13200**If a certain amount X is divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/3 of what C gets, which of the following is true**

A.C’s Share = 1053 and X = 1666

B.A’s Share = 238 and X = 1638

C.B’s Share = 234 and X = 1666

D.C’s Share = 1053 and X = 1638

E.A’s Share = 351 and X = 1638Answer –**D.C’s Share = 1053 and X = 1638**

**Explanation :**

A= 2/3 B; B= 1/3C;

A:B = 2:3 ; B:C = 1:3;

A:B:C = 2:3:9

C = 9/14 * 1638 = 1053**Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true?**

A.X = 50; Z = 40

B.Y = 40; Z = 50

C.X = 40; Z = 75

D.X = 50; Z = 40

E.Y = 50; X = 75Answer –**C.X = 40; Z = 75**

**Explanation :**

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x)

i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x)

i.e., 7x, 21x/2 and 14x

Required ratio = 7x:21x/2:14x

= 14x : 21x : 28x = 2:3:4**An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5 respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s share?**

A.2000

B.4000

C.6000

D.Data inadequate

E.None of theseAnswer –**D.Data inadequate**

**Explanation :**

Total sum not given**Two candles of same height are lighted at the same time. The first is consumed in 3 hours and second in 2 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1?**

A.2 hour

B.2.5 hour

C.4 hour

D.4.5 hour

E.None of theseAnswer –**D.4.5 hour**

**Explanation :**

Height of both candles are same i.e. h

First one takes 6 hours to burn completely, so in one hour = h/3

Similarly second one will burn in one hour = h/2

Let after t time, ratio between their height is 2:1

so, remaining height of first candle = h – t*(h/3)

similarly for second candle = h – t*(h/2)

ratio given 2:1,

h – t*(h/3) / h – t*(h/2) = 2/1

Solving we get t = 9/2 = 4.5**If A and B together have a certain amount X and if 4/15 of A’s amount is equal to 2/5 of B’s amount, which of the following is true?**

A.A = 1767; X = 2675

B.B = 1070; X = 2895

C.A = 1767; X = 2945

D.B = 1158; X = 2585

E.A = 1605; X = 2945Answer –**C.A = 1767; X = 2945**

**Explanation :**

4/15 * A = 2/5 * B

A= 2/3 B;

A:B = 3:2;

A = 3/5 * 2945 = 1767**A sum of Rs.4880 was divided among boys and girls in such a way that each boy gets Rs.44.50 and each girl get Rs. 55.25. If the total number of girls and boys is 100, find the number of girls?**

A.60

B.50

C.40

D.30

E.None of theseAnswer –**C.40**

**Explanation :**

x+y=100 ————– (i)

44.50x + 55.25y = 4880 ————– (ii)

Solving (i) and (ii) Y = 40**The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.**

A.11000, 8550

B.12000, 7750

C.15000, 8750

D.13000, 9780

E.None of theseAnswer –**C.15000, 8750**

**Explanation :**

4x – 2y = 5000 and 5x – 3y = 5000.

X = 8750, so income = 8750 and 15000**If the ratio of the first to second is 2:3 and that of the second to the third is 5: 8, then which of the following is true,**

A.Sum = 98; A = 48

B.Sum = 147; B = 30

C.Sum = 147; C = 45

D.Sum = 98; B = 30

E.Sum = 98; C = 72Answer –**D.Sum = 98; B = 30**

**Explanation :**

A:B:C = 10:15:24

If sum = 98, B = 15/49 * 98 = 30**A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,then****which of the following is true**

A.X = 840; Y = 260

B.X = 966; Y = 345

C.X = 840; Y = 280

D.X = 740; Y = 260

E.None of theseAnswer –**C.X = 840; Y = 280**

**Explanation :**

Value is given in the ratio 8:4:2.

(8x/0.25) + (4x/0.5) + (2x/1) = 840.

X = 20. Total amount, Y = 14*20 = 280

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