Anil went to a shop to buy a bicycle costing rupees 10620 the rate of cgst is 9% as the shopkeeper to reduce the price of the bicycle to such extent and so that he has to pay rupees 10620 with inclusive tax find the reduction needed in the price of the bicycle
Answers
Given,
The initial price of the bicycle exclusive the tax is Rs. 10620
The rate of tax is 9%
The final price inclusive the tax, is also Rs. 10620
To find,
The amount of reduction in price.
Solution,
Let,the amount of reduction = Rs. x
[ Assume x as a variable to do the further mathematical calculations.]
So, the new price = Rs. (10620-x)
The tax on the new price = Rs.{(10620-x) × (9/100)}
The final new price inclusive tax = Rs. [(10620-x) + {(10620-x) × (9/100)}]
Now, according to the data mentioned in the question,
[(10620-x) + {(10620-x) × (9/100)}] = 10620
(10620-x) + (95580-9x)/100 = 10620
(1062000-100x+95580-9x)/100 = 10620
(1157580-109x)/100 = 10620
1157580 - 109x = 1062000
1157580-1062000 = 109x
95580 = 109x
109x = 95580
x = 876.8
Hence,the amount of reduction in the price is Rs. 876.8
Answer:
The reduction in the price of the bicycle = MP – Final price = Rs. 10620 – Rs. 9000 = Rs. 1620
Step-by-step explanation:
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