Question 14 Marks
Mohanlal bought a shop to start a hardware store. The shop is 12 m long, 4 m wide and 3 m high. Mohanlal paid for it at the rate of ₹ 3500 per sq metre floor area and had to pay 8% of the total cost as stamp duty. To make the shop ready for use, he has to get it painted and the fabrication work done.
1. How much did Mohanlal pay for the shop?
(a) ₹ 168000$\quad$(b) ₹ 181440$\quad$(c) ₹ 504000$\quad$(d) ₹ 544320$\quad$
2. If Mohanlal utilizes one third of the shop to store paint boxes of dimensions 12 cm x 8 cm x 4 cm, how many boxes can he store?
(a) 37500 $\quad$(b) 75000 $\quad$(c) 105000 $\quad$(d) 125000 $\quad$
3. Mohanlal gets the two long side walls and the rear wall of the shop painted. How much will he pay for it at the rate of 96 per sq metre?
(a) ₹ 8064$\quad$(b) ₹ 9216$\quad$(c) ₹ 10368$\quad$(d) ₹ 13824$\quad$
4. To serve his customers and passers-by, Mohanlal installed a cylindrical water cooler tank in front of his shop. If the tank is 1 m high and 28 cm wide, how many litres of water it can hold?
(a) 38.5 $\quad$(b) 61.5 $\quad$(c) 77 $\quad$(d) 92.4 $\quad$
1. How much did Mohanlal pay for the shop?
(a) ₹ 168000$\quad$(b) ₹ 181440$\quad$(c) ₹ 504000$\quad$(d) ₹ 544320$\quad$
2. If Mohanlal utilizes one third of the shop to store paint boxes of dimensions 12 cm x 8 cm x 4 cm, how many boxes can he store?
(a) 37500 $\quad$(b) 75000 $\quad$(c) 105000 $\quad$(d) 125000 $\quad$
3. Mohanlal gets the two long side walls and the rear wall of the shop painted. How much will he pay for it at the rate of 96 per sq metre?
(a) ₹ 8064$\quad$(b) ₹ 9216$\quad$(c) ₹ 10368$\quad$(d) ₹ 13824$\quad$
4. To serve his customers and passers-by, Mohanlal installed a cylindrical water cooler tank in front of his shop. If the tank is 1 m high and 28 cm wide, how many litres of water it can hold?
(a) 38.5 $\quad$(b) 61.5 $\quad$(c) 77 $\quad$(d) 92.4 $\quad$
Answer
View full question & answer→1. B : Floor area of the shop $=(12 \times 4) m ^2=48 m^2$.
Basic cost of the shop = ₹ $(48 \times 3500)$ = ₹ 168000.
Stamp duty $=8 \%$ of ₹ 168000 = ₹ 13440.
$\therefore$ total amount paid = ₹ (168000 + 13440) = ₹ 181440.
2. D : Number of boxes $=\frac{\frac{1}{3} \times \text { volume of shop }}{\text { volume of each box }}=\frac{1}{3} \times \frac{1200 \times 400 \times 300}{12 \times 8 \times 4}=125000$.
3. A : Area to be painted $=2 l \hbar+b h=(2 \times 12 \times 3+4 \times 3) m ^2$
$=(72+12) m ^2=84 m^2$.
$\therefore$ cost of painting = ₹ (84 x 96) = ₹ 8064.
4. C : Volume of cylindrical tank $=\left(\frac{22}{7} \times 14 \times 14 \times 100\right) cm ^3=61600 cm^3$
$=\left(\frac{61600}{1000}\right)$ litres $=61.6$ litres.
Basic cost of the shop = ₹ $(48 \times 3500)$ = ₹ 168000.
Stamp duty $=8 \%$ of ₹ 168000 = ₹ 13440.
$\therefore$ total amount paid = ₹ (168000 + 13440) = ₹ 181440.
2. D : Number of boxes $=\frac{\frac{1}{3} \times \text { volume of shop }}{\text { volume of each box }}=\frac{1}{3} \times \frac{1200 \times 400 \times 300}{12 \times 8 \times 4}=125000$.
3. A : Area to be painted $=2 l \hbar+b h=(2 \times 12 \times 3+4 \times 3) m ^2$
$=(72+12) m ^2=84 m^2$.
$\therefore$ cost of painting = ₹ (84 x 96) = ₹ 8064.
4. C : Volume of cylindrical tank $=\left(\frac{22}{7} \times 14 \times 14 \times 100\right) cm ^3=61600 cm^3$
$=\left(\frac{61600}{1000}\right)$ litres $=61.6$ litres.