Q1. If the selling price of an article is 4 times to the discount offered and discount percent is equal to profit percent, find the ratio of discount offered to cost price.
Ans - 3:10
Q2. A sum of Rs.5,000 is lent out in two parts, one at 5% simple interest and other at 3% simple interest. If the annual interest is Rs.204, find the sum lend out at 5%.
Ans - 2700
Q3. A bat is sold at 20% profit. If cost price and selling price of the bat is reduced by ₹ 400 each, the profit is 10% more. Find the cost price of the bat.
Ans - 1200
Q4. Anu went to buy some notebooks for her classmates that costs ₹ 120 each. Bookseller offers her a discount such that after buying 15 notebooks, she has to pay the price of 12 notebooks and 3 are given at the cost of ₹ 60 each. Find the percentage of discount offered.
Ans - 10%
Q5. A sum of money doubles itself in 3 years at an interest rate compounded annually. It will amount to 16 times itself at the same rate of interest in:
Ans - 12
Q6. A solution contains 10% salt and remaining is water. If 30𝓁l
of water is evaporated, then salt becomes 15% find the initial solution.
Ans - 90
Q7. A dishonest shopkeeper marks his goods 25% more than cost price and gives 20% discount, but he cheats 10% while selling and buying. Find his actual profit %.
Ans - 22 2/9%
Q8. Till a certain date, Pakistan has a success rate of 50% against India in all the ODIs played between two countries. Pakistan costs all the 30 ODIs played against India after that date, and so their success rate decreases to 40%. Find the total number of ODIs played between the two countries.
Ans - 150
Q9. The compound interest on a certain sum for two successive years are 625 and 650. Find the rate of interest.
Ans - 4%
Q10. A Shopkeeper sells his goods at 4% loss. But he uses 44 gm weight instead of 50 gm. Find his actual profit percent.
Ans - 9 1/11%
Q11. In a certain village, the population was 4,000. In one year the population of male increases by 12% and that of female by 20%, but the total population increases by 15%, find the number of males in the village (initially)
Ans - 2500
Q12. In 3 years 2000 amounts to 2662 at r% compound interest, compounded annually. Find the value of r.
Ans - 10%
Q13. In the expression a2 + 2ab, values of both variables a and b are increased by 25%. By how much will the value of expression increase?
Ans - 56.25
Q14. A man saves a certain part of his monthly income so that he
can purchase a bike in 2 years. Find the percentage increase in his saving so
that he can purchase that bike in 14 months only.
Ans - 71 1/3%
Q15. Gaurav borrows ` 12,000 for 2 years at 612%612% per annum simple interest. He immediately tends it to Abhijit at 8% per annum simple interest for 2 years. Find his gain in this transaction.
Ans -360
