(a) Ram sold two pens Rs. 40 each. He sold one at a loss of Rs. 15%. and other at a gain of 15%. Find his total loss or gain percent. (b) In how many years will a sum of money double itself at 15% per year simple interest? (c) A 10 Rs. Face value share of a company is quoted at Rs. 40 in the market. How much does Mohan pay to purchase 600 shares of this company, if the brokerage 17%?
Answers
Answer:
2.25 % Loss
6 Years 8 Months
Rs 28080
Step-by-step explanation:
Let say Cost price of pen1 = C1
Sold at loss of 15 % => Loss = 0.15C1
Selling Price = 0.85C1 = 40
=> C1 = 40/0.85 = 800/17
Let say Cost price of pen2 = C2
Sold at gaib of 15 % => Gain = 0.15C2
Selling Price = 1.15C2 = 40
=> C1 = 40/1.15 = 800/23
Total Cost Price = 800/17 + 800/23 = 800 * 40 /( 17 * 23)
Total Selling Price = 80
Loss = 800 * 40 /( 17 * 23) - 80 = 80 (400 - 23*17) /(23 * 17)
= 80 * 9 / (23 * 17)
Loss % = 100 * (80 * 9 / (23 * 17)) / (800 * 40 /( 17 * 23) )
= 9/4 %
= 2.25 %
sum of money double itself
=> Simple interest = Principle
SI = P * R * T /100
=> P = P * 15 * T /100
=> T = 100/15
=> T = 20/3
6 Years 8 Months
600 Shares
Market Value = rs 40 each share
Value of 600 Shares = 600 * 40 = Rs 24000
Brokerage = (17/100) * 24000 = 4080 Rs
Amount Paid = 24000 + 4080 = Rs 28080