Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi
Telugu
Bengali
Marathi
Tamil

Question

Download Solution PDF

In a school library, the ratio of Science to English books is 10 ∶ 13. If there are 400 Science books and due to increase in demand of Science books, few Science books are added by school authority and the ratio becomes 25 ∶ 26. What is the number of Science books added?  

This question was previously asked in
SSC MTS (2022) Official Paper (Held On: 09 May 2023 Shift 2)
Download PDF Attempt Online
View all SSC MTS Papers >
  1. 50
  2. 100
  3. 120
  4. 80

Answer (Detailed Solution Below)

Option 2 : 100
Free Tests
View all Free tests >
Free
SSC MTS Mini Mock Test
1.7 Lakh Users
45 Questions 75 Marks 46 Mins
Start Now

Detailed Solution

Download Solution PDF

Given:

Initial ratio of Science to English books = 10 : 13

Number of initial Science books = 400

Ratio after addition of Science books = 25 : 26

Formula:

Number of Science books added = Final number of Science books - Initial number of Science books

Solution:

From the given initial ratio, 10 parts of the ratio represent 400 books.

⇒ Each part represent 400/10 = 40 books

⇒ So, the number of English books = 13 parts = 40 × 13 = 520 books

Now, the ratio of Science to English books, after addition of Science books, is 25 : 26.

Given, number of English books remain the same (as no addition in English books).

1 part of the ratio is therefore equivalent to 520/26 = 20 books.

⇒ Hence, after addition, the number of Science books = 25 parts = 20 × 25 = 500 books

Number of Science books added = Final number of Science books - Initial number of Science books

⇒ 500 - 400

⇒ 100

Therefore, the number of Science books added is 100.

Download Solution PDF
Latest SSC MTS Updates

Last updated on Jun 30, 2025

-> As per the notice published on 30th June 2025, the Staff Selection Commission has announced an extension for the application form correction window. Candidates can now make the required changes in their applications until 1st July 2025.

-> SSC MTS Notification 2025 has been released by the Staff Selection Commission (SSC) on the official website on 26th June, 2025.

-> For SSC MTS Vacancy 2025, a total of 1075 Vacancies have been announced for the post of Havaldar in CBIC and CBN.

-> As per the SSC MTS Notification 2025, the last date to apply online will be 24th July 2025 as per the SSC Exam Calendar 2025-26.

-> The selection of the candidates for the post of SSC MTS is based on Computer Based Examination. 

-> Candidates with basic eligibility criteria of the 10th class were eligible to appear for the examination. 

-> Candidates must attempt the SSC MTS Mock tests and SSC MTS Previous year papers for preparation.

‹‹ Previous Ques
Next Ques ››

More Compound Ratios Questions

Q1.A certain amount of money is divided between A, B and C in the ratio 8 : 4 : 3. If A divides his share between D and E in the ratio of 9 : 7, what will be the ratio of C's share to D's?
Q2.Rs. 2,730 is divided among A, B and C such that A receives half as much as B and C together receive and B receives two-fifth of what A and C together receive. The share of C (in Rs.) is more than that of A by:
Q3.If \(\rm \frac{a}{2}=\frac{b}{3}=\frac{c}{5}\), what is the value of \(\rm \frac{a+b+c}{c}\)?
Q4.The total amount of ₹ 49 is distributed among A, B and C. A receives ₹ 5 more than Band B receives ₹ 4 more than C. What is the ratio of their shares ?
Q5.If \(\rm \frac{3a+5b}{3a-5b}=5\), then a : b is equal to:
Q6.If \(\rm \frac{a}{b}=\frac{2}{3}\) and \(\rm \frac{b}{c}=\frac{4}{5}\), then \(\rm \frac{a+b}{b+c}\)= ?
Q7.42% of Ranita's weekly income is equal to 56% of Bhaskar's weekly income. If Bhaskar's weekly income was raised by Rs. 200, while Ranita's weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 5 ∶ 4. What is Ranita's weekly income (in Rs.)?
Q8.The ratio of marks of A and B is 3 : 4 and the ratio of marks of B and C is 4 : 5. If the difference in the marks of C and A is 30, then how much marks does B get?
Q9.57% of Ranita’s weekly income is equal to 76% of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by Rs. 400, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 6 : 5. What is Bhaskar’s weekly income (in Rs.)?
Q10.If a ∶ b = 3 ∶ 4, b ∶ c = 2 ∶ 3, and c ∶ d = 5 ∶ 6, then a ∶ b ∶ c ∶ d is:

More Ratio and Proportion Questions

Q1.A box containing the denominations of one rupee coins, five rupee coins and ten rupee coins amount to Rs.1360. There are equal number of coins of all denominations ,Then the number of five rupee coins in the box?
Q2.The ratio between the number of males and females in a college is 21 ∶ 22. If the number of males is increased by 20% and the number of females is increased by 30%, then what will be the new ratio of males and females in the college?
Q3.If a : b = 2 : 3, b : c = 4 : 5, then find a : b : c
Q4.If 125 : y :: y : 180, find the positive value of y.
Q5.The monthly incomes of two friends Vipul and Vijay, are in the ratio 5 : 7 respectively and each of them saves ₹81000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Vipul(in ₹).
Q6.A sum of money is to be divided among four members A, B, C, and D in the ratio 4 : 7 : 9 : 3. If C gets 720 more than D, find D's share.
Q7.Find the mean proportional between 17 and 68.
Q8.4,800 is divided between A, B and C in such a way that the ratio of A's share to the joint share of B and C is 3 : 5 and C gets \(\frac{5}{7}\)  of the joint share of A and B. What is the difference (in) between parts A and B?
Q9.If Rs. 1,368 is divided into two parts in the ratio 5 ∶ 3, then the sum (in th) of the larger part is _______.
Q10.One variable x is proportional to the cube of the other variable y. When x = 16, then y = 4. When x = 2, find y.
Suggested Test Series
View All >
SSC MTS & Havaldar Mock Test Series 2025
1023 Total Tests with 2 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   4 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.
Q2.A cistern has an inlet pipe and an outlet pipe. Inlet pipe can fill three-fourth of the cistern in 24 minutes while outlet pipe can empty the one-third filled cistern in 16 minutes. If both the pipes are opened together, then the cistern will be completely filled in-
Q3.In a family, three sons were born for every 3 years one after the other. If the ratio of present ages of father and the eldest son is 15:7 and the average of the present ages of the 3 sons is 18 years. What will be the ratio of the ages of the father and the youngest son after 5 years?
Q4.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q5.Can A and Can B contain a mixture of soda and water in the ratio of 5 : 3 and 7 : 2 respectively If soda and water are taken out in the ratio of P : Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12 : 5 respectively, then find the value Of P:Q?
Q6.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
Q7.M and R went for shopping and bought two sarees each at different cost. Cost price of saree bought by R is Rs.250 more than the cost price of saree bought by M. Shopkeeper earned a profit of 20% on selling both the sarees together to R and M which he bought them at total Rs.6000. At what cost did M buy saree?
Q8.There are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Q9.While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?  
Q10.Simple interest received on a certain sum at a rate of simple interest of 5% for 2 years is Rs.780. If the rate of interest remains same, what will be the total amount at the time of withdrawal at the end of 5 years.  
Exams
Cut Off
Eligibility
Coaching
Previous Year Papers
Syllabus
Test Series
Important Exams
Super Coaching
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti master plus teen patti master 51 bonus teen patti real cash game teen patti octro 3 patti rummy