21:I[344796,["/_next/static/chunks/0whdtqcc5h8md.js","/_next/static/chunks/1qo17jq3o72yb.js","/_next/static/chunks/00mfjk9z2ewie.js","/_next/static/chunks/3_0kqrj9zuodm.js","/_next/static/chunks/2q9x6spyz4qxv.js","/_next/static/chunks/2cxhk-z7t3ztw.js","/_next/static/chunks/35kg0tmkl08ow.js","/_next/static/chunks/09hukzrse-ioj.js","/_next/static/chunks/3-qfh2-yexhl7.js","/_next/static/chunks/0_-iwh06bu1or.js"],"default"] 22:T739,

Directions: The question given below is based on the graph. Read the graph carefully and answer the question that follows.

The bar graph given below shows the distribution of the students in a particular B-School in 2014. It consists of three 100% stacked bars. The first bar splits Total students, the second bar expands the Freshers segment, and the third bar expands the B.Tech. segment of the freshers.

Bar 1 — Total students

Segment	Percentage of total students
Freshers	75%
Work exp.	25%

Bar 2 — Freshers (breakdown of the 75%)

Stream	Percentage of freshers
B.Com.	8%
B.A.	12%
B.Sc.	28%
B.Tech.	36%
B.B.A.	16%

Bar 3 — B.Tech. (breakdown of the B.Tech. freshers)

Branch	Percentage of B.Tech. students
Others	32%
Computer Science	12%
Mechanical	24%
Chemical	22%
Electrical	10%

If the students having work experience are also from the same streams as those of the fresher students with the same distribution, and the B.Tech. students with work experience are from Mechanical and Chemical only with equal numbers from both, then what is the total percent of students from Chemical background?

23:T4f5,**Directions:** The question given below is based on the graph. Read the graph carefully and answer the question that follows. The bar graph given below shows the distribution of the students in a particular B-School in 2014. It consists of three 100% stacked bars. The first bar splits **Total students**, the second bar expands the **Freshers** segment, and the third bar expands the **B.Tech.** segment of the freshers. **Bar 1 — Total students** | Segment | Percentage of total students | | --- | --- | | Freshers | 75% | | Work exp. | 25% | **Bar 2 — Freshers (breakdown of the 75%)** | Stream | Percentage of freshers | | --- | --- | | B.Com. | 8% | | B.A. | 12% | | B.Sc. | 28% | | B.Tech. | 36% | | B.B.A. | 16% | **Bar 3 — B.Tech. (breakdown of the B.Tech. freshers)** | Branch | Percentage of B.Tech. students | | --- | --- | | Others | 32% | | Computer Science | 12% | | Mechanical | 24% | | Chemical | 22% | | Electrical | 10% | If the students having work experience are also from the same streams as those of the fresher students with the same distribution, and the B.Tech. students with work experience are from Mechanical and Chemical only with equal numbers from both, then what is the total percent of students from Chemical background? 24:Tc0e,## Overview The graph is a chain of three 100% stacked bars, and each bar re-scales the segment that the previous bar highlighted. Bar 1 splits the whole school into `Freshers` (75%) and `Work exp.` (25%). Bar 2 breaks the freshers into five streams, of which `B.Tech.` is 36%. Bar 3 breaks the B.Tech. freshers into five branches, of which `Chemical` is 22%. Every percentage after the first bar is therefore a percentage *of its parent group*, not of the school. The question asks for the share of the **entire school** that comes from a Chemical background, after applying a special rule to the work-experience students. The answer is `10.44%`, option 3. ## Key Insight The work-experience group is said to follow "the same streams with the same distribution" as the freshers, so 36% of the work-experience students are also B.Tech. But the branch distribution inside that group is overridden: those B.Tech. students are **only** Mechanical and Chemical, in equal numbers. So the 22% Chemical figure applies to the freshers only, while a flat 50% applies to the work-experience B.Tech. students. Mixing these two rates up is the whole trap. ## Approach Take the school as `100` students, which makes each percentage a headcount. Freshers side: `75` freshers, of which `36%` are B.Tech., giving `27` B.Tech. freshers. Of these, `22%` are Chemical: `27 x 0.22 = 5.94` students. Work-experience side: `25` students, of which `36%` are B.Tech., giving `9` B.Tech. students with work experience. These split equally between Mechanical and Chemical, so Chemical gets `9 / 2 = 4.5` students. Adding the two groups gives `5.94 + 4.5 = 10.44` students out of `100`, i.e. `10.44%`. ## Why This Works Percentages compose by multiplication along the chain of nested groups, so the school-level share of a fresher Chemical student is `0.75 x 0.36 x 0.22`. The same chain holds for the work-experience students except the last factor, which the question replaces with `1/2`, giving `0.25 x 0.36 x 0.50`. Since freshers and work-experience students are disjoint and together exhaust the school, their school-level shares simply add, and no normalisation step is needed. The arithmetic is exact — `5.94 + 4.5` is `10.44` with no rounding — which is why the option matches to the last digit. ## Complexity Constant work: two products of three factors each, then one addition. `O(1)` time and `O(1)` space. ## Common Pitfalls Stopping at `5.94%` is the most common error — that is the freshers-only contribution and it is planted as option 1 precisely to catch solvers who forget the work-experience group entirely. A second error is applying the `22%` Chemical figure to the work-experience B.Tech. students as well, which yields `1.98 + 5.94 = 7.92%` and no clean option, tempting a nearby guess. A third is reading `36%` or `22%` as percentages of the whole school rather than of their parent group, which inflates the result badly. Finally, note that "equal numbers from both" means Chemical takes half of that subgroup's B.Tech. students, not half of the `22%` branch share. 19:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"learningResourceType\":\"Coding Question\",\"name\":\"B-School Stream Distribution: Chemical Background Share\",\"description\":\"If the students having work experience are also from the same streams as those of the fresher students with the same distribution, and the B.Tech. students with work experience are from Mechanical and Chemical only with equal numbers from both, then what is the total percent of students from Chemical background?\",\"educationalLevel\":\"medium\",\"about\":{\"@type\":\"Organization\",\"name\":\"IndusInd Bank\"},\"provider\":{\"@type\":\"Organization\",\"name\":\"OAHelper\",\"url\":\"https://www.oahelper.in\"},\"isPartOf\":{\"@type\":\"WebSite\",\"name\":\"OAHelper\",\"url\":\"https://www.oahelper.in\"},\"url\":\"https://www.oahelper.in/problems/OTEwMDAwNjE5fDA/b-school-stream-distribution-chemical-background-share\"}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://www.oahelper.in/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Problems\",\"item\":\"https://www.oahelper.in/problems\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"B-School Stream Distribution: Chemical Background Share\",\"item\":\"https://www.oahelper.in/problems/OTEwMDAwNjE5fDA/b-school-stream-distribution-chemical-background-share\"}]}"}}],["$","$L21",null,{"fallback":["$","section",null,{"className":"mx-auto max-w-5xl px-6 py-24 text-white","children":[["$","h1",null,{"className":"mb-5 text-3xl font-bold","children":"B-School Stream Distribution: Chemical Background Share"}],["$","p",null,{"children":["Company: ","IndusInd Bank"]}],["$","p",null,{"children":["Difficulty: ","medium"]}],["$","div",null,{"children":[["$","h2",null,{"children":"Problem Statement"}],[["$","div","910000349",{"children":[["$","h3",null,{"children":["Question ",1]}],["$","p",null,{"children":"If the students having work experience are also from the same streams as those of the fresher students with the same distribution, and the B.Tech. students with work experience are from Mechanical and Chemical only with equal numbers from both, then what is the total percent of students from Chemical background?"}]]}]]]}],false,false,["$","nav",null,{"aria-label":"Related company pages","children":[["$","$L9",null,{"href":"/company-questions/indusind-bank","children":["More ","IndusInd Bank"," OA questions"]}],["$","$L9",null,{"href":"/interview-experiences","children":"Interview experiences"}]]}]]}],"id":"OTEwMDAwNjE5fDA","initialQuestion":{"id":"OTEwMDAwNjE5fDA","title":"B-School Stream Distribution: Chemical Background Share","google_doc_link":null,"problem_statement":"$22","solution_cpp":null,"solution_python":null,"solution_java":null,"pregiven_code_cpp":null,"pregiven_code_python":null,"pregiven_code_java":null,"difficulty":"medium","question_type":"mcq","premium_required":0,"created_at":"2026-08-13T11:17:04.438133+00:00","updated_at":"2026-08-20T14:05:01.945186+00:00","solution_code":null,"solution":null,"pregiven_code":null,"input_test_case":null,"output_test_case":null,"lc_tags":"[\"Data Interpretation\", \"Bar Graph\", \"Percentages\", \"Quantitative Aptitude\"]","visual_animation":null,"difficulty_score":55,"md_problem_statement":"$23","unique_company_name":"indusind bank","sql_solution":null,"bash_solution":null,"js_solution":null,"editorial":"$24","hidden_test_cases_blob_count":null,"youtube_tutorial":null,"prompt_solution":null,"campus_type":"on_campus","college_name":"IITBHU,VARANASI","role":"SDE","hidden_test_cases_ref":null,"is_mock_oa":false,"publication_status":"published","has_image":true,"company_name":"IndusInd Bank","is_first_in_company":true,"company_ref":"MTkzMnww"},"isQotdToday":false,"qotdReward":5}]]

B-School Stream Distribution: Chemical Background Share

Problem Statement

Question 1