Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Profit and Loss, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. A shopkeeper buys an article for ₹400 and sells it for ₹500. What is his profit percent?
(A) 25%
(B) 30%
(C) 100%
(D) 20%
Q2. A bicycle costs ₹400. It is sold at a gain of 25%. What is the selling price?
(A) ₹300
(B) ₹425
(C) ₹500
(D) ₹550
Q3. By selling a watch for ₹1440, a man gains 20%. What was the cost price of the watch?
(A) ₹1152
(B) ₹1420
(C) ₹1300
(D) ₹1200
Q4. A shopkeeper buys an article for ₹500 and sells it for ₹600. What is his profit percent?
(A) 25%
(B) 100%
(C) 15%
(D) 20%
Q5. A bicycle costs ₹400. It is sold at a loss of 25%. What is the selling price?
(A) ₹500
(B) ₹300
(C) ₹425
(D) ₹350
Q6. By selling a watch for ₹480, a man gains 20%. What was the cost price of the watch?
(A) ₹384
(B) ₹460
(C) ₹500
(D) ₹400
Q7. A radio bought for ₹1000 is sold for ₹950. What is the loss percent?
(A) 10%
(B) 50%
(C) 5%
(D) 15%
Q8. A shopkeeper buys an article for ₹250 and sells it for ₹275. What is his profit percent?
(A) 10%
(B) 15%
(C) 25%
(D) 5%
Q9. A bicycle costs ₹300. It is sold at a gain of 20%. What is the selling price?
(A) ₹240
(B) ₹320
(C) ₹360
(D) ₹410
Q10. By selling a watch for ₹600, a man gains 20%. What was the cost price of the watch?
(A) ₹480
(B) ₹500
(C) ₹580
(D) ₹600
Answer Key with Explanations
(A) 25% — Profit = ₹100; Profit% = 100/400 × 100 = 25%.
(C) ₹500 — SP = CP × (100 + 25)/100 = ₹500.
(D) ₹1200 — CP = SP × 100/(100+20) = 1440×100/120 = ₹1200.
(D) 20% — Profit = ₹100; Profit% = 100/500 × 100 = 20%.
(B) ₹300 — SP = CP × (100 − 25)/100 = ₹300.
(D) ₹400 — CP = SP × 100/(100+20) = 480×100/120 = ₹400.
(C) 5% — Loss = ₹50; Loss% = 50/1000 × 100 = 5%.
(A) 10% — Profit = ₹25; Profit% = 25/250 × 100 = 10%.
(C) ₹360 — SP = CP × (100 + 20)/100 = ₹360.
(B) ₹500 — CP = SP × 100/(100+20) = 600×100/120 = ₹500.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
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