# RD Sharma Solutions Class 8 Mathematics Solutions for Profit Loss Discount and Value Added Tax Exercise 13.2 in Chapter 13 - Profit Loss Discount and Value Added Tax

Question 20 Profit Loss Discount and Value Added Tax Exercise 13.2

A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs. 360 over the sale of one cycle, find the marked price of the cycle.

Given, Profit% = 20%

Gain over 1 cycle = Rs 360

Gain% = (gain/CP) × 100 20 = 360/CP × 100

20/100 = 360/CP

CP = Rs 1800

By using the formula,

SP = (100 + gain%)/100 × CP

= (100 + 20)/100 × 1800

= 120/100 × 1800

= Rs 2160

Given, Discount = 20%

MP = (100 × SP) / (100 - Discount %)

= (100 × 2160) / (100 - 20)

= 216000/80

= Rs 2700

∴ The marked price of the cycle is Rs 2700

Video transcript
"hello students i am rita your mass leader tutor and the today's question is a cycle merchant allows 20 discount on the market price of these cycles and still makes a profit of 20 if he gains rupees 360 over the same of one cycle find the mark price of the cycle so first of all in the question it is given that gain is rupees 360 and gain percent is given to us profit or gain percent is 20 percent as we know the formula of gain percent is equal to gain divided by cp into 100 so gain percent is 20 gain divided by gain is given to us that is 360. so we put the value the gain is 360 divided by cp into 100 therefore cp is equal to 360 divided by 20 into 100 so zero zero cancel two ones are two sixteen two weights it means the cp is equal to p is 1800 if we got cp then we find the sp also cp is 1800 and profit is 20 percent so the sp is equal to the formula of sp is 100 plus profit percent divided by 100 into cp now we put the values 100 plus 20 divided by 100 into cp is 1800 so sp is equal to 120 divided by 100 into 1800 two zeros cancel out each other so 120 into 18 120 into 18 becomes 2 100 160 and the formula of sp is marked price minus discount also so the selling price is 2160 and we don't know the market price we let it x and discount is twenty percent so twenty percent of x so two one six zero is equal to x minus twenty percent twenty by hundred into x twenty ones are twenty 25 now we take calcium of this 1 and 5 lcm is 5 so 5 x minus 1 x so it becomes 2 1 6 0 is equal to 4 by 5 x so this one becomes 2 1 6 0 into 5 by into 5 by 4 2 1 6 0 into 5 by 4 now we got the value of x that is marked price who opens up profiles at twenty four for the sixteen zero so 540 into when we multiply 540 into five then we got 2700 it means the marked price is the value of x or we can say marked price is equal to rupees 27 hundred so this is our answer i hope you like this video so please subscribe to for more updates and do comment your questions thank you "
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