Quantitative Aptitude

Correct answer: B

I is correct: the first partner's profit share in rupees when equal-duration capitals are Rs 3000 and Rs 5000 and profit is Rs 1600 → 600. Profit divides 3:5, so the first receives 1600×3/8. II is incorrect: profit percent when cost is Rs 400 and selling price is Rs 460 → 15. Profit is 60 and 60/400×100=15%.

Correct answer: C

Pt×8/100=P gives t=100/8.

Correct answer: D

I is incorrect: the commission in rupees at 3% on sales of Rs 18000 → 540. Commission=18000×3/100. II is incorrect: the net receipt in rupees from Rs 2400 after a 2.5% service deduction → 2340. The deduction is 60, leaving 2340.

Correct answer: C

Rate=450×100/(1500×5).

Correct answer: D

I is correct: marked price in rupees if a 20% discount leaves a selling price of Rs 960 → 1200. Marked price=960/0.8. II is incorrect: the selling price in rupees for a 25% margin on sales when cost is Rs 300 → 400. Cost is 75% of sales, so sales=300/0.75.

Correct answer: C

10000×0.9²=8100.

Correct answer: B

I is incorrect: the number of years for simple interest to equal principal at 8% per year → 12.5. Pt×8/100=P gives t=100/8. II is incorrect: effective discount percent from successive discounts of 10% and 20% → 28. The customer pays 0.9×0.8=72% of the marked price.

Correct answer: D

Profit is 60 and 60/400×100=15%.

Correct answer: C

I is incorrect: the compound-minus-simple interest difference in rupees on Rs 2000 at 5% for 2 years → 5. The two-year difference is P(r/100)²=2000×0.05². II is incorrect: annual simple-interest rate in percent if Rs 1500 earns Rs 450 in 5 years → 6. Rate=450×100/(1500×5).

Correct answer: A

I is correct: the cost in rupees of 7 items when 5 identical items cost Rs 350 → 490. Unit cost is 70, so seven cost 490. II is incorrect: the selling price in rupees for a 25% margin on sales when cost is Rs 300 → 400. Cost is 75% of sales, so sales=300/0.75.

Correct answer: B

The deduction is 60, leaving 2340.

Correct answer: D

I is incorrect: compound interest in rupees on Rs 1000 at 10% annually for 2 years → 210. Amount=1000×1.1²=1210; interest=210. II is incorrect: the first partner's profit share in rupees when equal-duration capitals are Rs 3000 and Rs 5000 and profit is Rs 1600 → 600. Profit divides 3:5, so the first receives 1600×3/8.

Correct answer: B

Marked price=960/0.8.

Correct answer: A

I is correct: profit percent when cost is Rs 400 and selling price is Rs 460 → 15. Profit is 60 and 60/400×100=15%. II is incorrect: the number of years for simple interest to equal principal at 8% per year → 12.5. Pt×8/100=P gives t=100/8.

Correct answer: C

Commission=18000×3/100.

Correct answer: B

I is incorrect: the value in rupees of a Rs 10000 asset after two annual depreciations of 10% → 8100. 10000×0.9²=8100. II is incorrect: cost price in rupees when Rs 540 is the selling price at a 10% loss → 600. The selling price is 90% of cost, so cost=540/0.9.

Correct answer: D

The two-year difference is P(r/100)²=2000×0.05².

Correct answer: D

I is incorrect: the first partner's profit share in rupees when equal-duration capitals are Rs 3000 and Rs 5000 and profit is Rs 1600 → 600. Profit divides 3:5, so the first receives 1600×3/8. II is incorrect: the cost in rupees of 7 items when 5 identical items cost Rs 350 → 490. Unit cost is 70, so seven cost 490.

Correct answer: A

SI=2000×6×3/100.

Correct answer: D

I is correct: the commission in rupees at 3% on sales of Rs 18000 → 540. Commission=18000×3/100. II is incorrect: compound interest in rupees on Rs 1000 at 10% annually for 2 years → 210. Amount=1000×1.1²=1210; interest=210.

Correct answer: B

I is incorrect: the first partner's profit share in rupees when equal-duration capitals are Rs 3000 and Rs 5000 and profit is Rs 1600 → 600. Profit divides 3:5, so the first receives 1600×3/8. II is incorrect: simple interest in rupees on Rs 2000 at 6% per year for 3 years → 360. SI=2000×6×3/100.

Correct answer: A

The selling price is 90% of cost, so cost=540/0.9.

Correct answer: D

I is correct: the selling price in rupees for a 25% margin on sales when cost is Rs 300 → 400. Cost is 75% of sales, so sales=300/0.75. II is incorrect: the compound-minus-simple interest difference in rupees on Rs 2000 at 5% for 2 years → 5. The two-year difference is P(r/100)²=2000×0.05².

Correct answer: D

Amount=1000×1.1²=1210; interest=210.

Correct answer: C

I is correct: the number of years for simple interest to equal principal at 8% per year → 12.5. Pt×8/100=P gives t=100/8. II is incorrect: cost price in rupees when Rs 540 is the selling price at a 10% loss → 600. The selling price is 90% of cost, so cost=540/0.9.