Percentage Problems
1 solved SSC CGL Quantitative Aptitude previous year questions on Percentage Problems, each with the correct answer and a full explanation.
Q1
Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of the salary on transport. After which he spent 40% of the balance of the salary on food. Further, he spent 80% of the balance on various bills. He deposits ₹ 5000 in the bank and kept the remaining ₹ 1480 for his own petty expenditure. Find his monthly salary (in ₹ ).
✓ Correct answer: a) 75000
ExplanationLet, the monthly salary of Rajan be Rs. 100x.Then, amount spent on rent = (100x) × 10% = Rs. 10x Remaining salary = 100x – 10x = Rs. 90x Amount spent on transport = (90x) × 20% = Rs. 18x Remaining salary = 90x – 18x = Rs. 72x Amount spent on Food = (72x) × 40% = Rs. 28.8x Remaining salary = 72x – 28.8x = Rs. 43.2x Amount spent on various bills = (43.2x) × 80% = Rs. 34.56x Remaining (deposited in the bank and kept for petty expenditure) = 5000 + 1480 ⇒ 43.2x – 34.56x = 6480 ⇒ 8.64x = 6480 ⇒ x = 6480/8.64 = 750 Therefore, salary of Ranjan = 750 × 100 = Rs. 75000 Hence, Option A is the correct answer.
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