Jitender Gupta and Divya Malik Solutions for Exercise 5: SAMPLE QUESTION PAPER

The printed price of an article is $₹2500$. A wholesaler in Kerala buys the article from a manufacturer in Rajasthan at a discount of $12\%$ on the printed price. The wholesaler sells the article to a retailer in Odisha at $32\%$ above the marked price. If the rate of GST on the article is $5\%$, then the price inclusive of tax (under GST) at which the retailer bought the article is $₹k$. Find $k$.

The printed price of an article is$₹2500$. A wholesaler in Kerala buys the article from a manufacturer in Rajasthan at a discount of $12\%$ on the printed price. The wholesaler sells the article to a retailer in Odisha at $32\%$ above the marked price. If the rate of GST on the article is $5\%$, find the price inclusive of tax (under GST) at which the retailer bought the article.

Solve the equation $\frac{2x+3}{x+3}=\frac{x+4}{x+2}$.

The median of the observations $11, 12, 14, 18, x + 2, x + 4, 30, 32, 35$ and $41$ arranged in ascending order, is $24.$ Find the value $x.$

An athletic track $14 m$ wide consists of two straight sections $120 m$ long joining semi-circle ends, whose inner radius is $35 m$. If the area of the shaded region is equal to $k m^2$, then find the value of $k$.

In what ratio, is the line joining the points $(2, 3)$ and $(4, 1)$ divides the line segment joining the points $(1,2)$ and $(4,3).$

A shopkeeper in Rajasthan buys a scooty at the printed price of $₹30000$ from a wholesaler in Kerala. The shopkeeper sells scooty to a consumer in Rajasthan at a profit of $15\%$ on the basic cost price. If the rate of GST is $12\%$, find the price (in rupees) inclusive of tax (under GST) at which the wholesaler sold the scooty.

A shopkeeper in Rajasthan buys a scooty at the printed price of $₹30000$ from a wholesaler in Kerala. The shopkeeper sells scooty to a consumer in Rajasthan at a profit of $15\%$ on the basic cost price. If the rate of GST is $12\%$, find the amount (in rupees) which the consumer pays for the scooty.