 # 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 12 Profit Loss Discount and Value Added Tax Exercise 13.2

A cycle dealer offers a discount of 10% and still makes a profit of 26%. What isthe actual cost to him of a cycle whose marked price is Rs. 840?

Given,

Marked price (MP) on cycle = Rs 840

Discount = 10%

Discount = (MP × Discount %)/100

= (840×10)/100

= Rs 84

SP = MP – Discount

= 840 – 84

= Rs 756

Given, he makes a profit of 26% additionally

So, by using the formula,

CP = 100 / (100 + Gain %) × SP

= 100 / (100 + 26) × 756

= 100/126 × 756

= 600

∴ Actual cost of the cycle is Rs 600

Video transcript
"hello students i am rita your match leader tutor and today's question is a cycle dealer offers a discount of 10 percent and still makes a profit of 26 percent what is the actual cost to him of a cycle whose marked price is rupees 840 in this question discount profit and mark price is given to us and we have to find the cost price so as we know discount is apply on the marked price first of all marked price is given to us rupees 840 and discount percent is 10 so first of all we apply the formula of selling price is equal to marked price minus discount marked price is 840 and discount is 10 so 10 percent of 840 we got 84 when we subtract 840 minus 84 we got rupees 756 so this is our selling price and we have to find the cost price profit percent is given is 26 now we apply the formula here the cost price is equal to 100 divided by 100 plus divided by 100 plus profit percent into sp now we put the values here 100 divided by 100 plus profit percent is 26 percent into sp sp is 756. now we solve this equation 100 divided by 126 into 756 now we cancel out this 1 26 into 6 126 6 up and 6 so the cost price is equal to rupees 100 into 6 600 so this is our answer i hope you like this video so please subscribe video for more updates and do comment your questions thank you"
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