S Purkayastha Solutions for Chapter: Assessment – 1, Exercise 1: Exercise 1

An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be increased by $4 \mathrm{cm}$ and the base decreased by $2 \mathrm{cm}$, the area of the triangle remains the same. Find the base and the altitude of the triangle.

A train can finish a journey in 10 hours travelling at a speed of 56 km .if another faster train is to cover the same journey in 8 hours , what should be the speed of the new train ?

A and B together can do a piece of work in $20$ days, B and C together can do it in $15$ days while C and A together can do it in $12$days. In how many days A,B & C finish it working together$?$

A and B together can do a piece of work in $20$ days, B and C together can do it in $15$ days while C and A together can do it in $12$days. How long each will take to do it separately $?$

A certain school has $300$ students, $142$ of whom are boys. It has $30$ teachers, $12$ of whom are men. What percent of the total number of students and teachers in the school is female ?

After allowing a discount of $7\frac{1}{2}\%$ on the marked price, an article is sold for $₹888$ Find its marked price.

Durga purchased the pair of shoes for$₹441$ in including VAT. If the sale price of shoes is $₹420$, then the rate of VAT is​.

Find the amount on $₹1,25,000$ for $2$ years compounded annually, the rate of interest being $15\%$ for the first year and $16\%$ for the second year.